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Finding the Fourth Proportional to 8,449.60, 12,675.84 and 4,289.44

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Solution

The fourth proportional to 8,449.60, 12,675.84 and 4,289.44 is: 6,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.60 : 12,675.84 = 4,289.44 : x
  2. Step 2: Convert to fraction form
    8,449.60/12,675.84 = 4,289.44/x
  3. Step 3: Cross multiply
    8,449.60x = 12,675.84 × 4,289.44
  4. Step 4: Simplify right side
    8,449.60x = 54,372,255.13
  5. Step 5: Solve for x
    x = 54,372,255.13/8,449.60
  6. Step 6: Final answer
    x = 6,434.89

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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.