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Finding the Fourth Proportional to 6,134.95, 9,201.26 and 1,691.52

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Solution

The fourth proportional to 6,134.95, 9,201.26 and 1,691.52 is: 2,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.95 : 9,201.26 = 1,691.52 : x
  2. Step 2: Convert to fraction form
    6,134.95/9,201.26 = 1,691.52/x
  3. Step 3: Cross multiply
    6,134.95x = 9,201.26 × 1,691.52
  4. Step 4: Simplify right side
    6,134.95x = 15,564,096.79
  5. Step 5: Solve for x
    x = 15,564,096.79/6,134.95
  6. Step 6: Final answer
    x = 2,536.96

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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.