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Finding the Fourth Proportional to 9,280.80, 13,933.56 and 5,388

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Solution

The fourth proportional to 9,280.80, 13,933.56 and 5,388 is: 8,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.80 : 13,933.56 = 5,388 : x
  2. Step 2: Convert to fraction form
    9,280.80/13,933.56 = 5,388/x
  3. Step 3: Cross multiply
    9,280.80x = 13,933.56 × 5,388
  4. Step 4: Simplify right side
    9,280.80x = 75,074,021.28
  5. Step 5: Solve for x
    x = 75,074,021.28/9,280.80
  6. Step 6: Final answer
    x = 8,089.18

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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.