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Finding the Fourth Proportional to 6,986.43, 9,641.73 and 4,002.21

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Solution

The fourth proportional to 6,986.43, 9,641.73 and 4,002.21 is: 5,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.43 : 9,641.73 = 4,002.21 : x
  2. Step 2: Convert to fraction form
    6,986.43/9,641.73 = 4,002.21/x
  3. Step 3: Cross multiply
    6,986.43x = 9,641.73 × 4,002.21
  4. Step 4: Simplify right side
    6,986.43x = 38,588,228.22
  5. Step 5: Solve for x
    x = 38,588,228.22/6,986.43
  6. Step 6: Final answer
    x = 5,523.31

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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.