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Finding the Fourth Proportional to 9,737.92, 14,610.56 and 5,845.04

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Solution

The fourth proportional to 9,737.92, 14,610.56 and 5,845.04 is: 8,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.92 : 14,610.56 = 5,845.04 : x
  2. Step 2: Convert to fraction form
    9,737.92/14,610.56 = 5,845.04/x
  3. Step 3: Cross multiply
    9,737.92x = 14,610.56 × 5,845.04
  4. Step 4: Simplify right side
    9,737.92x = 85,399,307.62
  5. Step 5: Solve for x
    x = 85,399,307.62/9,737.92
  6. Step 6: Final answer
    x = 8,769.77

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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.