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Finding the Fourth Proportional to 6,456.41, 9,672.26 and 4,366.14

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Solution

The fourth proportional to 6,456.41, 9,672.26 and 4,366.14 is: 6,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.41 : 9,672.26 = 4,366.14 : x
  2. Step 2: Convert to fraction form
    6,456.41/9,672.26 = 4,366.14/x
  3. Step 3: Cross multiply
    6,456.41x = 9,672.26 × 4,366.14
  4. Step 4: Simplify right side
    6,456.41x = 42,230,419.45
  5. Step 5: Solve for x
    x = 42,230,419.45/6,456.41
  6. Step 6: Final answer
    x = 6,540.86

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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.