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Finding the Fourth Proportional to 9,106.08, 13,660.71 and 3,769.23

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Solution

The fourth proportional to 9,106.08, 13,660.71 and 3,769.23 is: 5,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.08 : 13,660.71 = 3,769.23 : x
  2. Step 2: Convert to fraction form
    9,106.08/13,660.71 = 3,769.23/x
  3. Step 3: Cross multiply
    9,106.08x = 13,660.71 × 3,769.23
  4. Step 4: Simplify right side
    9,106.08x = 51,490,357.95
  5. Step 5: Solve for x
    x = 51,490,357.95/9,106.08
  6. Step 6: Final answer
    x = 5,654.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.