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Finding the Fourth Proportional to 9,585.20, 13,220.10 and 6,229.10

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Solution

The fourth proportional to 9,585.20, 13,220.10 and 6,229.10 is: 8,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.20 : 13,220.10 = 6,229.10 : x
  2. Step 2: Convert to fraction form
    9,585.20/13,220.10 = 6,229.10/x
  3. Step 3: Cross multiply
    9,585.20x = 13,220.10 × 6,229.10
  4. Step 4: Simplify right side
    9,585.20x = 82,349,357.96
  5. Step 5: Solve for x
    x = 82,349,357.96/9,585.20
  6. Step 6: Final answer
    x = 8,591.30

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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.