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Finding the Fourth Proportional to 9,680.87, 14,497.91 and 5,508.24

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Solution

The fourth proportional to 9,680.87, 14,497.91 and 5,508.24 is: 8,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.87 : 14,497.91 = 5,508.24 : x
  2. Step 2: Convert to fraction form
    9,680.87/14,497.91 = 5,508.24/x
  3. Step 3: Cross multiply
    9,680.87x = 14,497.91 × 5,508.24
  4. Step 4: Simplify right side
    9,680.87x = 79,857,929.76
  5. Step 5: Solve for x
    x = 79,857,929.76/9,680.87
  6. Step 6: Final answer
    x = 8,249.05

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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.