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Finding the Fourth Proportional to 9,982.38, 13,775.05 and 5,506.17

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Solution

The fourth proportional to 9,982.38, 13,775.05 and 5,506.17 is: 7,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.38 : 13,775.05 = 5,506.17 : x
  2. Step 2: Convert to fraction form
    9,982.38/13,775.05 = 5,506.17/x
  3. Step 3: Cross multiply
    9,982.38x = 13,775.05 × 5,506.17
  4. Step 4: Simplify right side
    9,982.38x = 75,847,722.28
  5. Step 5: Solve for x
    x = 75,847,722.28/9,982.38
  6. Step 6: Final answer
    x = 7,598.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.