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Finding the Fourth Proportional to 6,986.40, 9,641.48 and 4,001.60

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Solution

The fourth proportional to 6,986.40, 9,641.48 and 4,001.60 is: 5,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.40 : 9,641.48 = 4,001.60 : x
  2. Step 2: Convert to fraction form
    6,986.40/9,641.48 = 4,001.60/x
  3. Step 3: Cross multiply
    6,986.40x = 9,641.48 × 4,001.60
  4. Step 4: Simplify right side
    6,986.40x = 38,581,372.97
  5. Step 5: Solve for x
    x = 38,581,372.97/6,986.40
  6. Step 6: Final answer
    x = 5,522.35

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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.