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Finding the Fourth Proportional to 6,377.94, 9,565.18 and 4,034.42

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Solution

The fourth proportional to 6,377.94, 9,565.18 and 4,034.42 is: 6,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.94 : 9,565.18 = 4,034.42 : x
  2. Step 2: Convert to fraction form
    6,377.94/9,565.18 = 4,034.42/x
  3. Step 3: Cross multiply
    6,377.94x = 9,565.18 × 4,034.42
  4. Step 4: Simplify right side
    6,377.94x = 38,589,967.32
  5. Step 5: Solve for x
    x = 38,589,967.32/6,377.94
  6. Step 6: Final answer
    x = 6,050.54

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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.