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Finding the Fourth Proportional to 6,504.98, 9,761.18 and 6,452.12

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Solution

The fourth proportional to 6,504.98, 9,761.18 and 6,452.12 is: 9,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.98 : 9,761.18 = 6,452.12 : x
  2. Step 2: Convert to fraction form
    6,504.98/9,761.18 = 6,452.12/x
  3. Step 3: Cross multiply
    6,504.98x = 9,761.18 × 6,452.12
  4. Step 4: Simplify right side
    6,504.98x = 62,980,223.64
  5. Step 5: Solve for x
    x = 62,980,223.64/6,504.98
  6. Step 6: Final answer
    x = 9,681.85

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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.