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Finding the Fourth Proportional to 6,987.16, 9,641.47 and 4,002.82

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Solution

The fourth proportional to 6,987.16, 9,641.47 and 4,002.82 is: 5,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.16 : 9,641.47 = 4,002.82 : x
  2. Step 2: Convert to fraction form
    6,987.16/9,641.47 = 4,002.82/x
  3. Step 3: Cross multiply
    6,987.16x = 9,641.47 × 4,002.82
  4. Step 4: Simplify right side
    6,987.16x = 38,593,034.83
  5. Step 5: Solve for x
    x = 38,593,034.83/6,987.16
  6. Step 6: Final answer
    x = 5,523.42

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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.