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Finding the Fourth Proportional to 9,154.80, 12,629.52 and 6,169.68

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Solution

The fourth proportional to 9,154.80, 12,629.52 and 6,169.68 is: 8,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.80 : 12,629.52 = 6,169.68 : x
  2. Step 2: Convert to fraction form
    9,154.80/12,629.52 = 6,169.68/x
  3. Step 3: Cross multiply
    9,154.80x = 12,629.52 × 6,169.68
  4. Step 4: Simplify right side
    9,154.80x = 77,920,096.95
  5. Step 5: Solve for x
    x = 77,920,096.95/9,154.80
  6. Step 6: Final answer
    x = 8,511.39

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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.