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Finding the Fourth Proportional to 9,074.70, 13,612.05 and 2,834.46

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Solution

The fourth proportional to 9,074.70, 13,612.05 and 2,834.46 is: 4,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.70 : 13,612.05 = 2,834.46 : x
  2. Step 2: Convert to fraction form
    9,074.70/13,612.05 = 2,834.46/x
  3. Step 3: Cross multiply
    9,074.70x = 13,612.05 × 2,834.46
  4. Step 4: Simplify right side
    9,074.70x = 38,582,811.24
  5. Step 5: Solve for x
    x = 38,582,811.24/9,074.70
  6. Step 6: Final answer
    x = 4,251.69

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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.