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Finding the Fourth Proportional to 9,014.32, 12,439.80 and 5,034.76

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Solution

The fourth proportional to 9,014.32, 12,439.80 and 5,034.76 is: 6,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.32 : 12,439.80 = 5,034.76 : x
  2. Step 2: Convert to fraction form
    9,014.32/12,439.80 = 5,034.76/x
  3. Step 3: Cross multiply
    9,014.32x = 12,439.80 × 5,034.76
  4. Step 4: Simplify right side
    9,014.32x = 62,631,407.45
  5. Step 5: Solve for x
    x = 62,631,407.45/9,014.32
  6. Step 6: Final answer
    x = 6,947.99

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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.