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Finding the Fourth Proportional to 9,073.54, 13,613.05 and 2,834.22

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Solution

The fourth proportional to 9,073.54, 13,613.05 and 2,834.22 is: 4,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.54 : 13,613.05 = 2,834.22 : x
  2. Step 2: Convert to fraction form
    9,073.54/13,613.05 = 2,834.22/x
  3. Step 3: Cross multiply
    9,073.54x = 13,613.05 × 2,834.22
  4. Step 4: Simplify right side
    9,073.54x = 38,582,314.32
  5. Step 5: Solve for x
    x = 38,582,314.32/9,073.54
  6. Step 6: Final answer
    x = 4,252.18

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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.