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Finding the Fourth Proportional to 6,378.86, 9,555.32 and 3,294.38

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Solution

The fourth proportional to 6,378.86, 9,555.32 and 3,294.38 is: 4,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.86 : 9,555.32 = 3,294.38 : x
  2. Step 2: Convert to fraction form
    6,378.86/9,555.32 = 3,294.38/x
  3. Step 3: Cross multiply
    6,378.86x = 9,555.32 × 3,294.38
  4. Step 4: Simplify right side
    6,378.86x = 31,478,815.56
  5. Step 5: Solve for x
    x = 31,478,815.56/6,378.86
  6. Step 6: Final answer
    x = 4,934.87

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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.