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Finding the Fourth Proportional to 9,212.17, 12,711.39 and 5,178.22

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Solution

The fourth proportional to 9,212.17, 12,711.39 and 5,178.22 is: 7,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.17 : 12,711.39 = 5,178.22 : x
  2. Step 2: Convert to fraction form
    9,212.17/12,711.39 = 5,178.22/x
  3. Step 3: Cross multiply
    9,212.17x = 12,711.39 × 5,178.22
  4. Step 4: Simplify right side
    9,212.17x = 65,822,373.93
  5. Step 5: Solve for x
    x = 65,822,373.93/9,212.17
  6. Step 6: Final answer
    x = 7,145.15

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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.