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Finding the Fourth Proportional to 9,446.08, 14,168.88 and 4,519.20

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Solution

The fourth proportional to 9,446.08, 14,168.88 and 4,519.20 is: 6,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.08 : 14,168.88 = 4,519.20 : x
  2. Step 2: Convert to fraction form
    9,446.08/14,168.88 = 4,519.20/x
  3. Step 3: Cross multiply
    9,446.08x = 14,168.88 × 4,519.20
  4. Step 4: Simplify right side
    9,446.08x = 64,032,002.50
  5. Step 5: Solve for x
    x = 64,032,002.50/9,446.08
  6. Step 6: Final answer
    x = 6,778.69

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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.