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Finding the Fourth Proportional to 8,609.60, 12,921.60 and 4,230.80

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Solution

The fourth proportional to 8,609.60, 12,921.60 and 4,230.80 is: 6,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.60 : 12,921.60 = 4,230.80 : x
  2. Step 2: Convert to fraction form
    8,609.60/12,921.60 = 4,230.80/x
  3. Step 3: Cross multiply
    8,609.60x = 12,921.60 × 4,230.80
  4. Step 4: Simplify right side
    8,609.60x = 54,668,705.28
  5. Step 5: Solve for x
    x = 54,668,705.28/8,609.60
  6. Step 6: Final answer
    x = 6,349.74

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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.