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Finding the Fourth Proportional to 9,800.69, 13,524.92 and 5,324.52

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Solution

The fourth proportional to 9,800.69, 13,524.92 and 5,324.52 is: 7,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.69 : 13,524.92 = 5,324.52 : x
  2. Step 2: Convert to fraction form
    9,800.69/13,524.92 = 5,324.52/x
  3. Step 3: Cross multiply
    9,800.69x = 13,524.92 × 5,324.52
  4. Step 4: Simplify right side
    9,800.69x = 72,013,680.42
  5. Step 5: Solve for x
    x = 72,013,680.42/9,800.69
  6. Step 6: Final answer
    x = 7,347.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.