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Finding the Fourth Proportional to 9,914.47, 14,873.97 and 5,757.95

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Solution

The fourth proportional to 9,914.47, 14,873.97 and 5,757.95 is: 8,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.47 : 14,873.97 = 5,757.95 : x
  2. Step 2: Convert to fraction form
    9,914.47/14,873.97 = 5,757.95/x
  3. Step 3: Cross multiply
    9,914.47x = 14,873.97 × 5,757.95
  4. Step 4: Simplify right side
    9,914.47x = 85,643,575.56
  5. Step 5: Solve for x
    x = 85,643,575.56/9,914.47
  6. Step 6: Final answer
    x = 8,638.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.