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Finding the Fourth Proportional to 6,393.60, 9,565.92 and 4,207.68

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Solution

The fourth proportional to 6,393.60, 9,565.92 and 4,207.68 is: 6,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.60 : 9,565.92 = 4,207.68 : x
  2. Step 2: Convert to fraction form
    6,393.60/9,565.92 = 4,207.68/x
  3. Step 3: Cross multiply
    6,393.60x = 9,565.92 × 4,207.68
  4. Step 4: Simplify right side
    6,393.60x = 40,250,330.27
  5. Step 5: Solve for x
    x = 40,250,330.27/6,393.60
  6. Step 6: Final answer
    x = 6,295.41

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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.