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Finding the Fourth Proportional to 9,046.92, 13,569.29 and 3,854.28

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Solution

The fourth proportional to 9,046.92, 13,569.29 and 3,854.28 is: 5,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.92 : 13,569.29 = 3,854.28 : x
  2. Step 2: Convert to fraction form
    9,046.92/13,569.29 = 3,854.28/x
  3. Step 3: Cross multiply
    9,046.92x = 13,569.29 × 3,854.28
  4. Step 4: Simplify right side
    9,046.92x = 52,299,784.85
  5. Step 5: Solve for x
    x = 52,299,784.85/9,046.92
  6. Step 6: Final answer
    x = 5,780.95

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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.