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Finding the Fourth Proportional to 6,298.12, 9,397.97 and 5,642.20

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Solution

The fourth proportional to 6,298.12, 9,397.97 and 5,642.20 is: 8,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.12 : 9,397.97 = 5,642.20 : x
  2. Step 2: Convert to fraction form
    6,298.12/9,397.97 = 5,642.20/x
  3. Step 3: Cross multiply
    6,298.12x = 9,397.97 × 5,642.20
  4. Step 4: Simplify right side
    6,298.12x = 53,025,226.33
  5. Step 5: Solve for x
    x = 53,025,226.33/6,298.12
  6. Step 6: Final answer
    x = 8,419.21

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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.