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Finding the Fourth Proportional to 9,074.57, 12,523.82 and 5,095.44

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Solution

The fourth proportional to 9,074.57, 12,523.82 and 5,095.44 is: 7,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.57 : 12,523.82 = 5,095.44 : x
  2. Step 2: Convert to fraction form
    9,074.57/12,523.82 = 5,095.44/x
  3. Step 3: Cross multiply
    9,074.57x = 12,523.82 × 5,095.44
  4. Step 4: Simplify right side
    9,074.57x = 63,814,347.90
  5. Step 5: Solve for x
    x = 63,814,347.90/9,074.57
  6. Step 6: Final answer
    x = 7,032.22

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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.