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Finding the Fourth Proportional to 9,999.42, 13,799.31 and 5,752.59

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Solution

The fourth proportional to 9,999.42, 13,799.31 and 5,752.59 is: 7,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.42 : 13,799.31 = 5,752.59 : x
  2. Step 2: Convert to fraction form
    9,999.42/13,799.31 = 5,752.59/x
  3. Step 3: Cross multiply
    9,999.42x = 13,799.31 × 5,752.59
  4. Step 4: Simplify right side
    9,999.42x = 79,381,674.95
  5. Step 5: Solve for x
    x = 79,381,674.95/9,999.42
  6. Step 6: Final answer
    x = 7,938.63

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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.