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Finding the Fourth Proportional to 9,274.68, 13,910.16 and 3,034.88

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Solution

The fourth proportional to 9,274.68, 13,910.16 and 3,034.88 is: 4,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.68 : 13,910.16 = 3,034.88 : x
  2. Step 2: Convert to fraction form
    9,274.68/13,910.16 = 3,034.88/x
  3. Step 3: Cross multiply
    9,274.68x = 13,910.16 × 3,034.88
  4. Step 4: Simplify right side
    9,274.68x = 42,215,666.38
  5. Step 5: Solve for x
    x = 42,215,666.38/9,274.68
  6. Step 6: Final answer
    x = 4,551.71

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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.