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Finding the Fourth Proportional to 6,986.88, 9,641.76 and 4,002.54

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Solution

The fourth proportional to 6,986.88, 9,641.76 and 4,002.54 is: 5,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.88 : 9,641.76 = 4,002.54 : x
  2. Step 2: Convert to fraction form
    6,986.88/9,641.76 = 4,002.54/x
  3. Step 3: Cross multiply
    6,986.88x = 9,641.76 × 4,002.54
  4. Step 4: Simplify right side
    6,986.88x = 38,591,530.07
  5. Step 5: Solve for x
    x = 38,591,530.07/6,986.88
  6. Step 6: Final answer
    x = 5,523.43

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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.