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Finding the Fourth Proportional to 9,986.40, 13,781.40 and 6,006.74

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Solution

The fourth proportional to 9,986.40, 13,781.40 and 6,006.74 is: 8,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.40 : 13,781.40 = 6,006.74 : x
  2. Step 2: Convert to fraction form
    9,986.40/13,781.40 = 6,006.74/x
  3. Step 3: Cross multiply
    9,986.40x = 13,781.40 × 6,006.74
  4. Step 4: Simplify right side
    9,986.40x = 82,781,286.64
  5. Step 5: Solve for x
    x = 82,781,286.64/9,986.40
  6. Step 6: Final answer
    x = 8,289.40

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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.