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Finding the Fourth Proportional to 9,139.57, 12,612.60 and 4,947.82

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Solution

The fourth proportional to 9,139.57, 12,612.60 and 4,947.82 is: 6,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.57 : 12,612.60 = 4,947.82 : x
  2. Step 2: Convert to fraction form
    9,139.57/12,612.60 = 4,947.82/x
  3. Step 3: Cross multiply
    9,139.57x = 12,612.60 × 4,947.82
  4. Step 4: Simplify right side
    9,139.57x = 62,404,874.53
  5. Step 5: Solve for x
    x = 62,404,874.53/9,139.57
  6. Step 6: Final answer
    x = 6,827.99

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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.