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Finding the Fourth Proportional to 9,344, 12,894.88 and 6,037.76

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Solution

The fourth proportional to 9,344, 12,894.88 and 6,037.76 is: 8,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344 : 12,894.88 = 6,037.76 : x
  2. Step 2: Convert to fraction form
    9,344/12,894.88 = 6,037.76/x
  3. Step 3: Cross multiply
    9,344x = 12,894.88 × 6,037.76
  4. Step 4: Simplify right side
    9,344x = 77,856,190.67
  5. Step 5: Solve for x
    x = 77,856,190.67/9,344
  6. Step 6: Final answer
    x = 8,332.21

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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.