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Finding the Fourth Proportional to 8,449.18, 11,657.01 and 4,909.48

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Solution

The fourth proportional to 8,449.18, 11,657.01 and 4,909.48 is: 6,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.18 : 11,657.01 = 4,909.48 : x
  2. Step 2: Convert to fraction form
    8,449.18/11,657.01 = 4,909.48/x
  3. Step 3: Cross multiply
    8,449.18x = 11,657.01 × 4,909.48
  4. Step 4: Simplify right side
    8,449.18x = 57,229,846.72
  5. Step 5: Solve for x
    x = 57,229,846.72/8,449.18
  6. Step 6: Final answer
    x = 6,773.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.