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Finding the Fourth Proportional to 9,074.43, 12,522.94 and 5,095.85

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Solution

The fourth proportional to 9,074.43, 12,522.94 and 5,095.85 is: 7,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.43 : 12,522.94 = 5,095.85 : x
  2. Step 2: Convert to fraction form
    9,074.43/12,522.94 = 5,095.85/x
  3. Step 3: Cross multiply
    9,074.43x = 12,522.94 × 5,095.85
  4. Step 4: Simplify right side
    9,074.43x = 63,814,948.44
  5. Step 5: Solve for x
    x = 63,814,948.44/9,074.43
  6. Step 6: Final answer
    x = 7,032.39

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Why These Related Problems?

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