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Finding the Fourth Proportional to 6,986.80, 9,646.24 and 4,337.04

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Solution

The fourth proportional to 6,986.80, 9,646.24 and 4,337.04 is: 5,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.80 : 9,646.24 = 4,337.04 : x
  2. Step 2: Convert to fraction form
    6,986.80/9,646.24 = 4,337.04/x
  3. Step 3: Cross multiply
    6,986.80x = 9,646.24 × 4,337.04
  4. Step 4: Simplify right side
    6,986.80x = 41,836,128.73
  5. Step 5: Solve for x
    x = 41,836,128.73/6,986.80
  6. Step 6: Final answer
    x = 5,987.88

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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.