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Finding the Fourth Proportional to 9,050.72, 12,489.47 and 5,274.50

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Solution

The fourth proportional to 9,050.72, 12,489.47 and 5,274.50 is: 7,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.72 : 12,489.47 = 5,274.50 : x
  2. Step 2: Convert to fraction form
    9,050.72/12,489.47 = 5,274.50/x
  3. Step 3: Cross multiply
    9,050.72x = 12,489.47 × 5,274.50
  4. Step 4: Simplify right side
    9,050.72x = 65,875,620.70
  5. Step 5: Solve for x
    x = 65,875,620.70/9,050.72
  6. Step 6: Final answer
    x = 7,278.50

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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.