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Finding the Fourth Proportional to 9,363.12, 12,923.68 and 5,824.22

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Solution

The fourth proportional to 9,363.12, 12,923.68 and 5,824.22 is: 8,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.12 : 12,923.68 = 5,824.22 : x
  2. Step 2: Convert to fraction form
    9,363.12/12,923.68 = 5,824.22/x
  3. Step 3: Cross multiply
    9,363.12x = 12,923.68 × 5,824.22
  4. Step 4: Simplify right side
    9,363.12x = 75,270,355.53
  5. Step 5: Solve for x
    x = 75,270,355.53/9,363.12
  6. Step 6: Final answer
    x = 8,039.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.