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Finding the Fourth Proportional to 9,014.31, 12,439.02 and 5,034.66

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Solution

The fourth proportional to 9,014.31, 12,439.02 and 5,034.66 is: 6,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.31 : 12,439.02 = 5,034.66 : x
  2. Step 2: Convert to fraction form
    9,014.31/12,439.02 = 5,034.66/x
  3. Step 3: Cross multiply
    9,014.31x = 12,439.02 × 5,034.66
  4. Step 4: Simplify right side
    9,014.31x = 62,626,180.35
  5. Step 5: Solve for x
    x = 62,626,180.35/9,014.31
  6. Step 6: Final answer
    x = 6,947.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.