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Finding the Fourth Proportional to 9,800.92, 13,525.28 and 5,324.68

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Solution

The fourth proportional to 9,800.92, 13,525.28 and 5,324.68 is: 7,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.92 : 13,525.28 = 5,324.68 : x
  2. Step 2: Convert to fraction form
    9,800.92/13,525.28 = 5,324.68/x
  3. Step 3: Cross multiply
    9,800.92x = 13,525.28 × 5,324.68
  4. Step 4: Simplify right side
    9,800.92x = 72,017,767.41
  5. Step 5: Solve for x
    x = 72,017,767.41/9,800.92
  6. Step 6: Final answer
    x = 7,348.06

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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.