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Finding the Fourth Proportional to 9,687.71, 14,535.52 and 3,448.91

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Solution

The fourth proportional to 9,687.71, 14,535.52 and 3,448.91 is: 5,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.71 : 14,535.52 = 3,448.91 : x
  2. Step 2: Convert to fraction form
    9,687.71/14,535.52 = 3,448.91/x
  3. Step 3: Cross multiply
    9,687.71x = 14,535.52 × 3,448.91
  4. Step 4: Simplify right side
    9,687.71x = 50,131,618.98
  5. Step 5: Solve for x
    x = 50,131,618.98/9,687.71
  6. Step 6: Final answer
    x = 5,174.77

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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.