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Finding the Fourth Proportional to 9,384, 14,082.24 and 8,567.36

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Solution

The fourth proportional to 9,384, 14,082.24 and 8,567.36 is: 12,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 14,082.24 = 8,567.36 : x
  2. Step 2: Convert to fraction form
    9,384/14,082.24 = 8,567.36/x
  3. Step 3: Cross multiply
    9,384x = 14,082.24 × 8,567.36
  4. Step 4: Simplify right side
    9,384x = 120,647,619.69
  5. Step 5: Solve for x
    x = 120,647,619.69/9,384
  6. Step 6: Final answer
    x = 12,856.74

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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.