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Finding the Fourth Proportional to 6,288.30, 9,432.45 and 6,245.10

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Solution

The fourth proportional to 6,288.30, 9,432.45 and 6,245.10 is: 9,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.30 : 9,432.45 = 6,245.10 : x
  2. Step 2: Convert to fraction form
    6,288.30/9,432.45 = 6,245.10/x
  3. Step 3: Cross multiply
    6,288.30x = 9,432.45 × 6,245.10
  4. Step 4: Simplify right side
    6,288.30x = 58,906,593.50
  5. Step 5: Solve for x
    x = 58,906,593.50/6,288.30
  6. Step 6: Final answer
    x = 9,367.65

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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.