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Finding the Fourth Proportional to 6,654.38, 9,985.21 and 3,191.63

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Solution

The fourth proportional to 6,654.38, 9,985.21 and 3,191.63 is: 4,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.38 : 9,985.21 = 3,191.63 : x
  2. Step 2: Convert to fraction form
    6,654.38/9,985.21 = 3,191.63/x
  3. Step 3: Cross multiply
    6,654.38x = 9,985.21 × 3,191.63
  4. Step 4: Simplify right side
    6,654.38x = 31,869,037.89
  5. Step 5: Solve for x
    x = 31,869,037.89/6,654.38
  6. Step 6: Final answer
    x = 4,789.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.