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Finding the Fourth Proportional to 9,817.68, 13,553.42 and 7,574.52

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Solution

The fourth proportional to 9,817.68, 13,553.42 and 7,574.52 is: 10,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.68 : 13,553.42 = 7,574.52 : x
  2. Step 2: Convert to fraction form
    9,817.68/13,553.42 = 7,574.52/x
  3. Step 3: Cross multiply
    9,817.68x = 13,553.42 × 7,574.52
  4. Step 4: Simplify right side
    9,817.68x = 102,660,650.86
  5. Step 5: Solve for x
    x = 102,660,650.86/9,817.68
  6. Step 6: Final answer
    x = 10,456.71

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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.