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Finding the Fourth Proportional to 9,998.10, 13,799.30 and 5,752.01

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Solution

The fourth proportional to 9,998.10, 13,799.30 and 5,752.01 is: 7,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.10 : 13,799.30 = 5,752.01 : x
  2. Step 2: Convert to fraction form
    9,998.10/13,799.30 = 5,752.01/x
  3. Step 3: Cross multiply
    9,998.10x = 13,799.30 × 5,752.01
  4. Step 4: Simplify right side
    9,998.10x = 79,373,711.59
  5. Step 5: Solve for x
    x = 79,373,711.59/9,998.10
  6. Step 6: Final answer
    x = 7,938.88

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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.