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Finding the Fourth Proportional to 9,274.52, 12,799 and 5,082.50

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Solution

The fourth proportional to 9,274.52, 12,799 and 5,082.50 is: 7,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.52 : 12,799 = 5,082.50 : x
  2. Step 2: Convert to fraction form
    9,274.52/12,799 = 5,082.50/x
  3. Step 3: Cross multiply
    9,274.52x = 12,799 × 5,082.50
  4. Step 4: Simplify right side
    9,274.52x = 65,050,917.50
  5. Step 5: Solve for x
    x = 65,050,917.50/9,274.52
  6. Step 6: Final answer
    x = 7,013.94

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