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Finding the Fourth Proportional to 9,158.78, 13,738.20 and 2,233.22

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Solution

The fourth proportional to 9,158.78, 13,738.20 and 2,233.22 is: 3,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.78 : 13,738.20 = 2,233.22 : x
  2. Step 2: Convert to fraction form
    9,158.78/13,738.20 = 2,233.22/x
  3. Step 3: Cross multiply
    9,158.78x = 13,738.20 × 2,233.22
  4. Step 4: Simplify right side
    9,158.78x = 30,680,423.00
  5. Step 5: Solve for x
    x = 30,680,423.00/9,158.78
  6. Step 6: Final answer
    x = 3,349.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.