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Finding the Fourth Proportional to 9,700.57, 13,376.46 and 7,680.61

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Solution

The fourth proportional to 9,700.57, 13,376.46 and 7,680.61 is: 10,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.57 : 13,376.46 = 7,680.61 : x
  2. Step 2: Convert to fraction form
    9,700.57/13,376.46 = 7,680.61/x
  3. Step 3: Cross multiply
    9,700.57x = 13,376.46 × 7,680.61
  4. Step 4: Simplify right side
    9,700.57x = 102,739,372.44
  5. Step 5: Solve for x
    x = 102,739,372.44/9,700.57
  6. Step 6: Final answer
    x = 10,591.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.