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Finding the Fourth Proportional to 9,032, 13,550.70 and 3,838.28

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Solution

The fourth proportional to 9,032, 13,550.70 and 3,838.28 is: 5,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032 : 13,550.70 = 3,838.28 : x
  2. Step 2: Convert to fraction form
    9,032/13,550.70 = 3,838.28/x
  3. Step 3: Cross multiply
    9,032x = 13,550.70 × 3,838.28
  4. Step 4: Simplify right side
    9,032x = 52,011,380.80
  5. Step 5: Solve for x
    x = 52,011,380.80/9,032
  6. Step 6: Final answer
    x = 5,758.57

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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.