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Finding the Fourth Proportional to 9,359, 12,924.33 and 7,366

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Solution

The fourth proportional to 9,359, 12,924.33 and 7,366 is: 10,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359 : 12,924.33 = 7,366 : x
  2. Step 2: Convert to fraction form
    9,359/12,924.33 = 7,366/x
  3. Step 3: Cross multiply
    9,359x = 12,924.33 × 7,366
  4. Step 4: Simplify right side
    9,359x = 95,200,614.78
  5. Step 5: Solve for x
    x = 95,200,614.78/9,359
  6. Step 6: Final answer
    x = 10,172.09

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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.