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Finding the Fourth Proportional to 7,144.35, 9,859.52 and 4,000.47

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Solution

The fourth proportional to 7,144.35, 9,859.52 and 4,000.47 is: 5,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.35 : 9,859.52 = 4,000.47 : x
  2. Step 2: Convert to fraction form
    7,144.35/9,859.52 = 4,000.47/x
  3. Step 3: Cross multiply
    7,144.35x = 9,859.52 × 4,000.47
  4. Step 4: Simplify right side
    7,144.35x = 39,442,693.97
  5. Step 5: Solve for x
    x = 39,442,693.97/7,144.35
  6. Step 6: Final answer
    x = 5,520.82

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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.