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Finding the Fourth Proportional to 7,046.70, 9,724.32 and 3,902.82

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Solution

The fourth proportional to 7,046.70, 9,724.32 and 3,902.82 is: 5,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.70 : 9,724.32 = 3,902.82 : x
  2. Step 2: Convert to fraction form
    7,046.70/9,724.32 = 3,902.82/x
  3. Step 3: Cross multiply
    7,046.70x = 9,724.32 × 3,902.82
  4. Step 4: Simplify right side
    7,046.70x = 37,952,270.58
  5. Step 5: Solve for x
    x = 37,952,270.58/7,046.70
  6. Step 6: Final answer
    x = 5,385.82

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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.