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Finding the Fourth Proportional to 9,737.29, 13,439.15 and 9,413.29

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Solution

The fourth proportional to 9,737.29, 13,439.15 and 9,413.29 is: 12,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.29 : 13,439.15 = 9,413.29 : x
  2. Step 2: Convert to fraction form
    9,737.29/13,439.15 = 9,413.29/x
  3. Step 3: Cross multiply
    9,737.29x = 13,439.15 × 9,413.29
  4. Step 4: Simplify right side
    9,737.29x = 126,506,616.30
  5. Step 5: Solve for x
    x = 126,506,616.30/9,737.29
  6. Step 6: Final answer
    x = 12,991.97

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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.