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Finding the Fourth Proportional to 9,982.74, 14,918.88 and 9,406.56

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Solution

The fourth proportional to 9,982.74, 14,918.88 and 9,406.56 is: 14,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.74 : 14,918.88 = 9,406.56 : x
  2. Step 2: Convert to fraction form
    9,982.74/14,918.88 = 9,406.56/x
  3. Step 3: Cross multiply
    9,982.74x = 14,918.88 × 9,406.56
  4. Step 4: Simplify right side
    9,982.74x = 140,335,339.85
  5. Step 5: Solve for x
    x = 140,335,339.85/9,982.74
  6. Step 6: Final answer
    x = 14,057.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.