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Finding the Fourth Proportional to 11,443.69, 15,757.71 and 9,209.17

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Solution

The fourth proportional to 11,443.69, 15,757.71 and 9,209.17 is: 12,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.69 : 15,757.71 = 9,209.17 : x
  2. Step 2: Convert to fraction form
    11,443.69/15,757.71 = 9,209.17/x
  3. Step 3: Cross multiply
    11,443.69x = 15,757.71 × 9,209.17
  4. Step 4: Simplify right side
    11,443.69x = 145,115,430.20
  5. Step 5: Solve for x
    x = 145,115,430.20/11,443.69
  6. Step 6: Final answer
    x = 12,680.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.