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Finding the Fourth Proportional to 9,480.99, 14,224.68 and 5,966.85

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Solution

The fourth proportional to 9,480.99, 14,224.68 and 5,966.85 is: 8,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.99 : 14,224.68 = 5,966.85 : x
  2. Step 2: Convert to fraction form
    9,480.99/14,224.68 = 5,966.85/x
  3. Step 3: Cross multiply
    9,480.99x = 14,224.68 × 5,966.85
  4. Step 4: Simplify right side
    9,480.99x = 84,876,531.86
  5. Step 5: Solve for x
    x = 84,876,531.86/9,480.99
  6. Step 6: Final answer
    x = 8,952.29

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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.