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Finding the Fourth Proportional to 6,291.68, 9,397.28 and 5,697.81

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Solution

The fourth proportional to 6,291.68, 9,397.28 and 5,697.81 is: 8,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.68 : 9,397.28 = 5,697.81 : x
  2. Step 2: Convert to fraction form
    6,291.68/9,397.28 = 5,697.81/x
  3. Step 3: Cross multiply
    6,291.68x = 9,397.28 × 5,697.81
  4. Step 4: Simplify right side
    6,291.68x = 53,543,930.20
  5. Step 5: Solve for x
    x = 53,543,930.20/6,291.68
  6. Step 6: Final answer
    x = 8,510.28

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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.