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Finding the Fourth Proportional to 9,715.80, 14,575.02 and 3,791.52

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Solution

The fourth proportional to 9,715.80, 14,575.02 and 3,791.52 is: 5,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.80 : 14,575.02 = 3,791.52 : x
  2. Step 2: Convert to fraction form
    9,715.80/14,575.02 = 3,791.52/x
  3. Step 3: Cross multiply
    9,715.80x = 14,575.02 × 3,791.52
  4. Step 4: Simplify right side
    9,715.80x = 55,261,479.83
  5. Step 5: Solve for x
    x = 55,261,479.83/9,715.80
  6. Step 6: Final answer
    x = 5,687.80

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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.