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Finding the Fourth Proportional to 6,647.31, 9,892.50 and 6,425.84

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Solution

The fourth proportional to 6,647.31, 9,892.50 and 6,425.84 is: 9,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.31 : 9,892.50 = 6,425.84 : x
  2. Step 2: Convert to fraction form
    6,647.31/9,892.50 = 6,425.84/x
  3. Step 3: Cross multiply
    6,647.31x = 9,892.50 × 6,425.84
  4. Step 4: Simplify right side
    6,647.31x = 63,567,622.83
  5. Step 5: Solve for x
    x = 63,567,622.83/6,647.31
  6. Step 6: Final answer
    x = 9,562.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.