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Finding the Fourth Proportional to 7,046.32, 9,712.74 and 5,551.96

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Solution

The fourth proportional to 7,046.32, 9,712.74 and 5,551.96 is: 7,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.32 : 9,712.74 = 5,551.96 : x
  2. Step 2: Convert to fraction form
    7,046.32/9,712.74 = 5,551.96/x
  3. Step 3: Cross multiply
    7,046.32x = 9,712.74 × 5,551.96
  4. Step 4: Simplify right side
    7,046.32x = 53,924,743.97
  5. Step 5: Solve for x
    x = 53,924,743.97/7,046.32
  6. Step 6: Final answer
    x = 7,652.89

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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.