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Finding the Fourth Proportional to 6,701.74, 9,227.37 and 5,691.34

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Solution

The fourth proportional to 6,701.74, 9,227.37 and 5,691.34 is: 7,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.74 : 9,227.37 = 5,691.34 : x
  2. Step 2: Convert to fraction form
    6,701.74/9,227.37 = 5,691.34/x
  3. Step 3: Cross multiply
    6,701.74x = 9,227.37 × 5,691.34
  4. Step 4: Simplify right side
    6,701.74x = 52,516,074.89
  5. Step 5: Solve for x
    x = 52,516,074.89/6,701.74
  6. Step 6: Final answer
    x = 7,836.19

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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.