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Finding the Fourth Proportional to 6,986.88, 9,641.50 and 4,002.84

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Solution

The fourth proportional to 6,986.88, 9,641.50 and 4,002.84 is: 5,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.88 : 9,641.50 = 4,002.84 : x
  2. Step 2: Convert to fraction form
    6,986.88/9,641.50 = 4,002.84/x
  3. Step 3: Cross multiply
    6,986.88x = 9,641.50 × 4,002.84
  4. Step 4: Simplify right side
    6,986.88x = 38,593,371.85
  5. Step 5: Solve for x
    x = 38,593,371.85/6,986.88
  6. Step 6: Final answer
    x = 5,523.69

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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.