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Finding the Fourth Proportional to 9,117.10, 12,793.10 and 9,117.10

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Solution

The fourth proportional to 9,117.10, 12,793.10 and 9,117.10 is: 12,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.10 : 12,793.10 = 9,117.10 : x
  2. Step 2: Convert to fraction form
    9,117.10/12,793.10 = 9,117.10/x
  3. Step 3: Cross multiply
    9,117.10x = 12,793.10 × 9,117.10
  4. Step 4: Simplify right side
    9,117.10x = 116,635,972.01
  5. Step 5: Solve for x
    x = 116,635,972.01/9,117.10
  6. Step 6: Final answer
    x = 12,793.10

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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.