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Finding the Fourth Proportional to 9,385.57, 14,078.31 and 3,765.76

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Solution

The fourth proportional to 9,385.57, 14,078.31 and 3,765.76 is: 5,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.57 : 14,078.31 = 3,765.76 : x
  2. Step 2: Convert to fraction form
    9,385.57/14,078.31 = 3,765.76/x
  3. Step 3: Cross multiply
    9,385.57x = 14,078.31 × 3,765.76
  4. Step 4: Simplify right side
    9,385.57x = 53,015,487.35
  5. Step 5: Solve for x
    x = 53,015,487.35/9,385.57
  6. Step 6: Final answer
    x = 5,648.62

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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.