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Finding the Fourth Proportional to 9,480.60, 14,221.68 and 5,780.88

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Solution

The fourth proportional to 9,480.60, 14,221.68 and 5,780.88 is: 8,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.60 : 14,221.68 = 5,780.88 : x
  2. Step 2: Convert to fraction form
    9,480.60/14,221.68 = 5,780.88/x
  3. Step 3: Cross multiply
    9,480.60x = 14,221.68 × 5,780.88
  4. Step 4: Simplify right side
    9,480.60x = 82,213,825.48
  5. Step 5: Solve for x
    x = 82,213,825.48/9,480.60
  6. Step 6: Final answer
    x = 8,671.80

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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.