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Finding the Fourth Proportional to 7,046.64, 9,722.88 and 4,251.60

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Solution

The fourth proportional to 7,046.64, 9,722.88 and 4,251.60 is: 5,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.64 : 9,722.88 = 4,251.60 : x
  2. Step 2: Convert to fraction form
    7,046.64/9,722.88 = 4,251.60/x
  3. Step 3: Cross multiply
    7,046.64x = 9,722.88 × 4,251.60
  4. Step 4: Simplify right side
    7,046.64x = 41,337,796.61
  5. Step 5: Solve for x
    x = 41,337,796.61/7,046.64
  6. Step 6: Final answer
    x = 5,866.31

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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.