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Finding the Fourth Proportional to 9,199.10, 12,695.05 and 5,220.38

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Solution

The fourth proportional to 9,199.10, 12,695.05 and 5,220.38 is: 7,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.10 : 12,695.05 = 5,220.38 : x
  2. Step 2: Convert to fraction form
    9,199.10/12,695.05 = 5,220.38/x
  3. Step 3: Cross multiply
    9,199.10x = 12,695.05 × 5,220.38
  4. Step 4: Simplify right side
    9,199.10x = 66,272,921.64
  5. Step 5: Solve for x
    x = 66,272,921.64/9,199.10
  6. Step 6: Final answer
    x = 7,204.29

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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.