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Finding the Fourth Proportional to 9,582.60, 14,373.42 and 3,340.68

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Solution

The fourth proportional to 9,582.60, 14,373.42 and 3,340.68 is: 5,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.60 : 14,373.42 = 3,340.68 : x
  2. Step 2: Convert to fraction form
    9,582.60/14,373.42 = 3,340.68/x
  3. Step 3: Cross multiply
    9,582.60x = 14,373.42 × 3,340.68
  4. Step 4: Simplify right side
    9,582.60x = 48,016,996.73
  5. Step 5: Solve for x
    x = 48,016,996.73/9,582.60
  6. Step 6: Final answer
    x = 5,010.85

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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.