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Finding the Fourth Proportional to 9,041.92, 13,564.32 and 2,801.68

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Solution

The fourth proportional to 9,041.92, 13,564.32 and 2,801.68 is: 4,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.92 : 13,564.32 = 2,801.68 : x
  2. Step 2: Convert to fraction form
    9,041.92/13,564.32 = 2,801.68/x
  3. Step 3: Cross multiply
    9,041.92x = 13,564.32 × 2,801.68
  4. Step 4: Simplify right side
    9,041.92x = 38,002,884.06
  5. Step 5: Solve for x
    x = 38,002,884.06/9,041.92
  6. Step 6: Final answer
    x = 4,202.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.