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Finding the Fourth Proportional to 9,793,091.10, 13,724,499.30 and 9,793,091.10

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Solution

The fourth proportional to 9,793,091.10, 13,724,499.30 and 9,793,091.10 is: 13,724,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793,091.10 : 13,724,499.30 = 9,793,091.10 : x
  2. Step 2: Convert to fraction form
    9,793,091.10/13,724,499.30 = 9,793,091.10/x
  3. Step 3: Cross multiply
    9,793,091.10x = 13,724,499.30 × 9,793,091.10
  4. Step 4: Simplify right side
    9,793,091.10x = 134,405,271,946,786.23
  5. Step 5: Solve for x
    x = 134,405,271,946,786.23/9,793,091.10
  6. Step 6: Final answer
    x = 13,724,499.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.