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Finding the Fourth Proportional to 9,139.50, 12,612.51 and 4,947.78

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Solution

The fourth proportional to 9,139.50, 12,612.51 and 4,947.78 is: 6,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.50 : 12,612.51 = 4,947.78 : x
  2. Step 2: Convert to fraction form
    9,139.50/12,612.51 = 4,947.78/x
  3. Step 3: Cross multiply
    9,139.50x = 12,612.51 × 4,947.78
  4. Step 4: Simplify right side
    9,139.50x = 62,403,924.73
  5. Step 5: Solve for x
    x = 62,403,924.73/9,139.50
  6. Step 6: Final answer
    x = 6,827.94

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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.