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Finding the Fourth Proportional to 6,654.90, 9,922.00 and 6,481.76

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Solution

The fourth proportional to 6,654.90, 9,922.00 and 6,481.76 is: 9,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.90 : 9,922.00 = 6,481.76 : x
  2. Step 2: Convert to fraction form
    6,654.90/9,922.00 = 6,481.76/x
  3. Step 3: Cross multiply
    6,654.90x = 9,922.00 × 6,481.76
  4. Step 4: Simplify right side
    6,654.90x = 64,312,031.32
  5. Step 5: Solve for x
    x = 64,312,031.32/6,654.90
  6. Step 6: Final answer
    x = 9,663.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.