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Finding the Fourth Proportional to 9,046.78, 13,573.24 and 5,711.15

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Solution

The fourth proportional to 9,046.78, 13,573.24 and 5,711.15 is: 8,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.78 : 13,573.24 = 5,711.15 : x
  2. Step 2: Convert to fraction form
    9,046.78/13,573.24 = 5,711.15/x
  3. Step 3: Cross multiply
    9,046.78x = 13,573.24 × 5,711.15
  4. Step 4: Simplify right side
    9,046.78x = 77,518,809.63
  5. Step 5: Solve for x
    x = 77,518,809.63/9,046.78
  6. Step 6: Final answer
    x = 8,568.66

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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.