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Finding the Fourth Proportional to 9,480.12, 14,230.20 and 5,323.68

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Solution

The fourth proportional to 9,480.12, 14,230.20 and 5,323.68 is: 7,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.12 : 14,230.20 = 5,323.68 : x
  2. Step 2: Convert to fraction form
    9,480.12/14,230.20 = 5,323.68/x
  3. Step 3: Cross multiply
    9,480.12x = 14,230.20 × 5,323.68
  4. Step 4: Simplify right side
    9,480.12x = 75,757,031.14
  5. Step 5: Solve for x
    x = 75,757,031.14/9,480.12
  6. Step 6: Final answer
    x = 7,991.15

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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.