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Finding the Fourth Proportional to 9,982.26, 13,775.60 and 5,506.17

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Solution

The fourth proportional to 9,982.26, 13,775.60 and 5,506.17 is: 7,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.26 : 13,775.60 = 5,506.17 : x
  2. Step 2: Convert to fraction form
    9,982.26/13,775.60 = 5,506.17/x
  3. Step 3: Cross multiply
    9,982.26x = 13,775.60 × 5,506.17
  4. Step 4: Simplify right side
    9,982.26x = 75,850,767.92
  5. Step 5: Solve for x
    x = 75,850,767.92/9,982.26
  6. Step 6: Final answer
    x = 7,598.56

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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.