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Finding the Fourth Proportional to 7,046.52, 9,723.96 and 3,902.76

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Solution

The fourth proportional to 7,046.52, 9,723.96 and 3,902.76 is: 5,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.52 : 9,723.96 = 3,902.76 : x
  2. Step 2: Convert to fraction form
    7,046.52/9,723.96 = 3,902.76/x
  3. Step 3: Cross multiply
    7,046.52x = 9,723.96 × 3,902.76
  4. Step 4: Simplify right side
    7,046.52x = 37,950,282.13
  5. Step 5: Solve for x
    x = 37,950,282.13/7,046.52
  6. Step 6: Final answer
    x = 5,385.68

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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.