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Finding the Fourth Proportional to 6,298.38, 9,442.53 and 4,079.48

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Solution

The fourth proportional to 6,298.38, 9,442.53 and 4,079.48 is: 6,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.38 : 9,442.53 = 4,079.48 : x
  2. Step 2: Convert to fraction form
    6,298.38/9,442.53 = 4,079.48/x
  3. Step 3: Cross multiply
    6,298.38x = 9,442.53 × 4,079.48
  4. Step 4: Simplify right side
    6,298.38x = 38,520,565.07
  5. Step 5: Solve for x
    x = 38,520,565.07/6,298.38
  6. Step 6: Final answer
    x = 6,115.95

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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.