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Finding the Fourth Proportional to 9,314.14, 12,853.25 and 5,122.39

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Solution

The fourth proportional to 9,314.14, 12,853.25 and 5,122.39 is: 7,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.14 : 12,853.25 = 5,122.39 : x
  2. Step 2: Convert to fraction form
    9,314.14/12,853.25 = 5,122.39/x
  3. Step 3: Cross multiply
    9,314.14x = 12,853.25 × 5,122.39
  4. Step 4: Simplify right side
    9,314.14x = 65,839,295.00
  5. Step 5: Solve for x
    x = 65,839,295.00/9,314.14
  6. Step 6: Final answer
    x = 7,068.75

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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.