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Finding the Fourth Proportional to 8,634.92, 12,937.19 and 6,156.95

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Solution

The fourth proportional to 8,634.92, 12,937.19 and 6,156.95 is: 9,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.92 : 12,937.19 = 6,156.95 : x
  2. Step 2: Convert to fraction form
    8,634.92/12,937.19 = 6,156.95/x
  3. Step 3: Cross multiply
    8,634.92x = 12,937.19 × 6,156.95
  4. Step 4: Simplify right side
    8,634.92x = 79,653,536.50
  5. Step 5: Solve for x
    x = 79,653,536.50/8,634.92
  6. Step 6: Final answer
    x = 9,224.59

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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.