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Finding the Fourth Proportional to 8,314.01, 12,454.61 and 6,236.36

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Solution

The fourth proportional to 8,314.01, 12,454.61 and 6,236.36 is: 9,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.01 : 12,454.61 = 6,236.36 : x
  2. Step 2: Convert to fraction form
    8,314.01/12,454.61 = 6,236.36/x
  3. Step 3: Cross multiply
    8,314.01x = 12,454.61 × 6,236.36
  4. Step 4: Simplify right side
    8,314.01x = 77,671,431.62
  5. Step 5: Solve for x
    x = 77,671,431.62/8,314.01
  6. Step 6: Final answer
    x = 9,342.23

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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.