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Finding the Fourth Proportional to 9,318.14, 12,859.16 and 5,126.39

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Solution

The fourth proportional to 9,318.14, 12,859.16 and 5,126.39 is: 7,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.14 : 12,859.16 = 5,126.39 : x
  2. Step 2: Convert to fraction form
    9,318.14/12,859.16 = 5,126.39/x
  3. Step 3: Cross multiply
    9,318.14x = 12,859.16 × 5,126.39
  4. Step 4: Simplify right side
    9,318.14x = 65,921,027.53
  5. Step 5: Solve for x
    x = 65,921,027.53/9,318.14
  6. Step 6: Final answer
    x = 7,074.48

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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.