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Finding the Fourth Proportional to 8,356.14, 12,542.40 and 6,281.22

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Solution

The fourth proportional to 8,356.14, 12,542.40 and 6,281.22 is: 9,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.14 : 12,542.40 = 6,281.22 : x
  2. Step 2: Convert to fraction form
    8,356.14/12,542.40 = 6,281.22/x
  3. Step 3: Cross multiply
    8,356.14x = 12,542.40 × 6,281.22
  4. Step 4: Simplify right side
    8,356.14x = 78,781,573.73
  5. Step 5: Solve for x
    x = 78,781,573.73/8,356.14
  6. Step 6: Final answer
    x = 9,427.99

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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.