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Finding the Fourth Proportional to 6,981.41, 9,633.84 and 4,148.66

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Solution

The fourth proportional to 6,981.41, 9,633.84 and 4,148.66 is: 5,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.41 : 9,633.84 = 4,148.66 : x
  2. Step 2: Convert to fraction form
    6,981.41/9,633.84 = 4,148.66/x
  3. Step 3: Cross multiply
    6,981.41x = 9,633.84 × 4,148.66
  4. Step 4: Simplify right side
    6,981.41x = 39,967,526.65
  5. Step 5: Solve for x
    x = 39,967,526.65/6,981.41
  6. Step 6: Final answer
    x = 5,724.85

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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.