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Finding the Fourth Proportional to 27,787.72, 41,685 and 9,062.74

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Solution

The fourth proportional to 27,787.72, 41,685 and 9,062.74 is: 13,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.72 : 41,685 = 9,062.74 : x
  2. Step 2: Convert to fraction form
    27,787.72/41,685 = 9,062.74/x
  3. Step 3: Cross multiply
    27,787.72x = 41,685 × 9,062.74
  4. Step 4: Simplify right side
    27,787.72x = 377,780,316.90
  5. Step 5: Solve for x
    x = 377,780,316.90/27,787.72
  6. Step 6: Final answer
    x = 13,595.23

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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.