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Finding the Fourth Proportional to 8,509.31, 12,754.50 and 6,422.54

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Solution

The fourth proportional to 8,509.31, 12,754.50 and 6,422.54 is: 9,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.31 : 12,754.50 = 6,422.54 : x
  2. Step 2: Convert to fraction form
    8,509.31/12,754.50 = 6,422.54/x
  3. Step 3: Cross multiply
    8,509.31x = 12,754.50 × 6,422.54
  4. Step 4: Simplify right side
    8,509.31x = 81,916,354.27
  5. Step 5: Solve for x
    x = 81,916,354.27/8,509.31
  6. Step 6: Final answer
    x = 9,626.68

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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.