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Finding the Fourth Proportional to 8,959.24, 13,438.86 and 4,339

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Solution

The fourth proportional to 8,959.24, 13,438.86 and 4,339 is: 6,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.24 : 13,438.86 = 4,339 : x
  2. Step 2: Convert to fraction form
    8,959.24/13,438.86 = 4,339/x
  3. Step 3: Cross multiply
    8,959.24x = 13,438.86 × 4,339
  4. Step 4: Simplify right side
    8,959.24x = 58,311,213.54
  5. Step 5: Solve for x
    x = 58,311,213.54/8,959.24
  6. Step 6: Final answer
    x = 6,508.50

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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.