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Finding the Fourth Proportional to 6,422.45, 9,615.92 and 3,295.72

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Solution

The fourth proportional to 6,422.45, 9,615.92 and 3,295.72 is: 4,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.45 : 9,615.92 = 3,295.72 : x
  2. Step 2: Convert to fraction form
    6,422.45/9,615.92 = 3,295.72/x
  3. Step 3: Cross multiply
    6,422.45x = 9,615.92 × 3,295.72
  4. Step 4: Simplify right side
    6,422.45x = 31,691,379.86
  5. Step 5: Solve for x
    x = 31,691,379.86/6,422.45
  6. Step 6: Final answer
    x = 4,934.47

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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.