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Finding the Fourth Proportional to 9,562.38, 13,204.80 and 7,200.42

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Solution

The fourth proportional to 9,562.38, 13,204.80 and 7,200.42 is: 9,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.38 : 13,204.80 = 7,200.42 : x
  2. Step 2: Convert to fraction form
    9,562.38/13,204.80 = 7,200.42/x
  3. Step 3: Cross multiply
    9,562.38x = 13,204.80 × 7,200.42
  4. Step 4: Simplify right side
    9,562.38x = 95,080,106.02
  5. Step 5: Solve for x
    x = 95,080,106.02/9,562.38
  6. Step 6: Final answer
    x = 9,943.14

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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.