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Finding the Fourth Proportional to 9,382, 14,073.28 and 2,456.56

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Solution

The fourth proportional to 9,382, 14,073.28 and 2,456.56 is: 3,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382 : 14,073.28 = 2,456.56 : x
  2. Step 2: Convert to fraction form
    9,382/14,073.28 = 2,456.56/x
  3. Step 3: Cross multiply
    9,382x = 14,073.28 × 2,456.56
  4. Step 4: Simplify right side
    9,382x = 34,571,856.72
  5. Step 5: Solve for x
    x = 34,571,856.72/9,382
  6. Step 6: Final answer
    x = 3,684.91

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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.