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Finding the Fourth Proportional to 6,515.47, 9,773.21 and 3,737.98

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Solution

The fourth proportional to 6,515.47, 9,773.21 and 3,737.98 is: 5,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.47 : 9,773.21 = 3,737.98 : x
  2. Step 2: Convert to fraction form
    6,515.47/9,773.21 = 3,737.98/x
  3. Step 3: Cross multiply
    6,515.47x = 9,773.21 × 3,737.98
  4. Step 4: Simplify right side
    6,515.47x = 36,532,063.52
  5. Step 5: Solve for x
    x = 36,532,063.52/6,515.47
  6. Step 6: Final answer
    x = 5,606.97

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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.