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Finding the Fourth Proportional to 9,737.55, 14,617.26 and 3,898.26

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Solution

The fourth proportional to 9,737.55, 14,617.26 and 3,898.26 is: 5,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.55 : 14,617.26 = 3,898.26 : x
  2. Step 2: Convert to fraction form
    9,737.55/14,617.26 = 3,898.26/x
  3. Step 3: Cross multiply
    9,737.55x = 14,617.26 × 3,898.26
  4. Step 4: Simplify right side
    9,737.55x = 56,981,879.97
  5. Step 5: Solve for x
    x = 56,981,879.97/9,737.55
  6. Step 6: Final answer
    x = 5,851.77

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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.