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Finding the Fourth Proportional to 9,737.86, 13,449.33 and 6,545.61

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Solution

The fourth proportional to 9,737.86, 13,449.33 and 6,545.61 is: 9,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.86 : 13,449.33 = 6,545.61 : x
  2. Step 2: Convert to fraction form
    9,737.86/13,449.33 = 6,545.61/x
  3. Step 3: Cross multiply
    9,737.86x = 13,449.33 × 6,545.61
  4. Step 4: Simplify right side
    9,737.86x = 88,034,102.56
  5. Step 5: Solve for x
    x = 88,034,102.56/9,737.86
  6. Step 6: Final answer
    x = 9,040.40

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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.