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Finding the Fourth Proportional to 8,937.86, 12,339.86 and 5,756.72

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Solution

The fourth proportional to 8,937.86, 12,339.86 and 5,756.72 is: 7,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.86 : 12,339.86 = 5,756.72 : x
  2. Step 2: Convert to fraction form
    8,937.86/12,339.86 = 5,756.72/x
  3. Step 3: Cross multiply
    8,937.86x = 12,339.86 × 5,756.72
  4. Step 4: Simplify right side
    8,937.86x = 71,037,028.38
  5. Step 5: Solve for x
    x = 71,037,028.38/8,937.86
  6. Step 6: Final answer
    x = 7,947.88

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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.