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Finding the Fourth Proportional to 7,046.34, 9,724.25 and 3,902.52

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Solution

The fourth proportional to 7,046.34, 9,724.25 and 3,902.52 is: 5,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.34 : 9,724.25 = 3,902.52 : x
  2. Step 2: Convert to fraction form
    7,046.34/9,724.25 = 3,902.52/x
  3. Step 3: Cross multiply
    7,046.34x = 9,724.25 × 3,902.52
  4. Step 4: Simplify right side
    7,046.34x = 37,949,080.11
  5. Step 5: Solve for x
    x = 37,949,080.11/7,046.34
  6. Step 6: Final answer
    x = 5,385.64

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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.