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Finding the Fourth Proportional to 6,981.89, 9,631.80 and 4,147.67

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Solution

The fourth proportional to 6,981.89, 9,631.80 and 4,147.67 is: 5,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.89 : 9,631.80 = 4,147.67 : x
  2. Step 2: Convert to fraction form
    6,981.89/9,631.80 = 4,147.67/x
  3. Step 3: Cross multiply
    6,981.89x = 9,631.80 × 4,147.67
  4. Step 4: Simplify right side
    6,981.89x = 39,949,479.75
  5. Step 5: Solve for x
    x = 39,949,479.75/6,981.89
  6. Step 6: Final answer
    x = 5,721.88

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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.