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Finding the Fourth Proportional to 9,720.97, 13,435.65 and 8,569.15

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Solution

The fourth proportional to 9,720.97, 13,435.65 and 8,569.15 is: 11,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.97 : 13,435.65 = 8,569.15 : x
  2. Step 2: Convert to fraction form
    9,720.97/13,435.65 = 8,569.15/x
  3. Step 3: Cross multiply
    9,720.97x = 13,435.65 × 8,569.15
  4. Step 4: Simplify right side
    9,720.97x = 115,132,066.61
  5. Step 5: Solve for x
    x = 115,132,066.61/9,720.97
  6. Step 6: Final answer
    x = 11,843.68

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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.