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Finding the Fourth Proportional to 6,177.59, 9,268.76 and 3,714.11

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Solution

The fourth proportional to 6,177.59, 9,268.76 and 3,714.11 is: 5,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.59 : 9,268.76 = 3,714.11 : x
  2. Step 2: Convert to fraction form
    6,177.59/9,268.76 = 3,714.11/x
  3. Step 3: Cross multiply
    6,177.59x = 9,268.76 × 3,714.11
  4. Step 4: Simplify right side
    6,177.59x = 34,425,194.20
  5. Step 5: Solve for x
    x = 34,425,194.20/6,177.59
  6. Step 6: Final answer
    x = 5,572.59

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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.