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Finding the Fourth Proportional to 9,314.22, 12,853.96 and 5,122.46

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Solution

The fourth proportional to 9,314.22, 12,853.96 and 5,122.46 is: 7,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.22 : 12,853.96 = 5,122.46 : x
  2. Step 2: Convert to fraction form
    9,314.22/12,853.96 = 5,122.46/x
  3. Step 3: Cross multiply
    9,314.22x = 12,853.96 × 5,122.46
  4. Step 4: Simplify right side
    9,314.22x = 65,843,895.94
  5. Step 5: Solve for x
    x = 65,843,895.94/9,314.22
  6. Step 6: Final answer
    x = 7,069.18

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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.