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Finding the Fourth Proportional to 9,680.10, 14,520.16 and 2,660.22

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Solution

The fourth proportional to 9,680.10, 14,520.16 and 2,660.22 is: 3,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.10 : 14,520.16 = 2,660.22 : x
  2. Step 2: Convert to fraction form
    9,680.10/14,520.16 = 2,660.22/x
  3. Step 3: Cross multiply
    9,680.10x = 14,520.16 × 2,660.22
  4. Step 4: Simplify right side
    9,680.10x = 38,626,820.04
  5. Step 5: Solve for x
    x = 38,626,820.04/9,680.10
  6. Step 6: Final answer
    x = 3,990.33

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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.