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Finding the Fourth Proportional to 8,901.92, 13,361.55 and 4,288.16

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Solution

The fourth proportional to 8,901.92, 13,361.55 and 4,288.16 is: 6,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,901.92 : 13,361.55 = 4,288.16 : x
  2. Step 2: Convert to fraction form
    8,901.92/13,361.55 = 4,288.16/x
  3. Step 3: Cross multiply
    8,901.92x = 13,361.55 × 4,288.16
  4. Step 4: Simplify right side
    8,901.92x = 57,296,464.25
  5. Step 5: Solve for x
    x = 57,296,464.25/8,901.92
  6. Step 6: Final answer
    x = 6,436.42

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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.