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Finding the Fourth Proportional to 27,787.66, 41,684.04 and 9,062.90

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Solution

The fourth proportional to 27,787.66, 41,684.04 and 9,062.90 is: 13,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,787.66 : 41,684.04 = 9,062.90 : x
  2. Step 2: Convert to fraction form
    27,787.66/41,684.04 = 9,062.90/x
  3. Step 3: Cross multiply
    27,787.66x = 41,684.04 × 9,062.90
  4. Step 4: Simplify right side
    27,787.66x = 377,778,286.12
  5. Step 5: Solve for x
    x = 377,778,286.12/27,787.66
  6. Step 6: Final answer
    x = 13,595.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.