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Finding the Fourth Proportional to 9,986.46, 13,781.22 and 5,510.40

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Solution

The fourth proportional to 9,986.46, 13,781.22 and 5,510.40 is: 7,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.46 : 13,781.22 = 5,510.40 : x
  2. Step 2: Convert to fraction form
    9,986.46/13,781.22 = 5,510.40/x
  3. Step 3: Cross multiply
    9,986.46x = 13,781.22 × 5,510.40
  4. Step 4: Simplify right side
    9,986.46x = 75,940,034.69
  5. Step 5: Solve for x
    x = 75,940,034.69/9,986.46
  6. Step 6: Final answer
    x = 7,604.30

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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.