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Finding the Fourth Proportional to 9,999.38, 13,799.90 and 5,751.74

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Solution

The fourth proportional to 9,999.38, 13,799.90 and 5,751.74 is: 7,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.38 : 13,799.90 = 5,751.74 : x
  2. Step 2: Convert to fraction form
    9,999.38/13,799.90 = 5,751.74/x
  3. Step 3: Cross multiply
    9,999.38x = 13,799.90 × 5,751.74
  4. Step 4: Simplify right side
    9,999.38x = 79,373,485.71
  5. Step 5: Solve for x
    x = 79,373,485.71/9,999.38
  6. Step 6: Final answer
    x = 7,937.84

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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.