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Finding the Fourth Proportional to 9,616.59, 14,419.49 and 3,610.17

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Solution

The fourth proportional to 9,616.59, 14,419.49 and 3,610.17 is: 5,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.59 : 14,419.49 = 3,610.17 : x
  2. Step 2: Convert to fraction form
    9,616.59/14,419.49 = 3,610.17/x
  3. Step 3: Cross multiply
    9,616.59x = 14,419.49 × 3,610.17
  4. Step 4: Simplify right side
    9,616.59x = 52,056,792.16
  5. Step 5: Solve for x
    x = 52,056,792.16/9,616.59
  6. Step 6: Final answer
    x = 5,413.23

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