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Finding the Fourth Proportional to 7,046.30, 9,723.89 and 3,902.49

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Solution

The fourth proportional to 7,046.30, 9,723.89 and 3,902.49 is: 5,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.30 : 9,723.89 = 3,902.49 : x
  2. Step 2: Convert to fraction form
    7,046.30/9,723.89 = 3,902.49/x
  3. Step 3: Cross multiply
    7,046.30x = 9,723.89 × 3,902.49
  4. Step 4: Simplify right side
    7,046.30x = 37,947,393.24
  5. Step 5: Solve for x
    x = 37,947,393.24/7,046.30
  6. Step 6: Final answer
    x = 5,385.43

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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.