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Finding the Fourth Proportional to 6,294.75, 9,443.82 and 5,606.15

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Solution

The fourth proportional to 6,294.75, 9,443.82 and 5,606.15 is: 8,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.75 : 9,443.82 = 5,606.15 : x
  2. Step 2: Convert to fraction form
    6,294.75/9,443.82 = 5,606.15/x
  3. Step 3: Cross multiply
    6,294.75x = 9,443.82 × 5,606.15
  4. Step 4: Simplify right side
    6,294.75x = 52,943,424.27
  5. Step 5: Solve for x
    x = 52,943,424.27/6,294.75
  6. Step 6: Final answer
    x = 8,410.73

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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.