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Finding the Fourth Proportional to 9,288.80, 13,933.12 and 2,363.28

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Solution

The fourth proportional to 9,288.80, 13,933.12 and 2,363.28 is: 3,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.80 : 13,933.12 = 2,363.28 : x
  2. Step 2: Convert to fraction form
    9,288.80/13,933.12 = 2,363.28/x
  3. Step 3: Cross multiply
    9,288.80x = 13,933.12 × 2,363.28
  4. Step 4: Simplify right side
    9,288.80x = 32,927,863.83
  5. Step 5: Solve for x
    x = 32,927,863.83/9,288.80
  6. Step 6: Final answer
    x = 3,544.90

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Why These Related Problems?

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