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Finding the Fourth Proportional to 9,732.80, 14,591.84 and 4,112.21

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Solution

The fourth proportional to 9,732.80, 14,591.84 and 4,112.21 is: 6,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.80 : 14,591.84 = 4,112.21 : x
  2. Step 2: Convert to fraction form
    9,732.80/14,591.84 = 4,112.21/x
  3. Step 3: Cross multiply
    9,732.80x = 14,591.84 × 4,112.21
  4. Step 4: Simplify right side
    9,732.80x = 60,004,689.81
  5. Step 5: Solve for x
    x = 60,004,689.81/9,732.80
  6. Step 6: Final answer
    x = 6,165.20

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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.