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Finding the Fourth Proportional to 9,332.42, 12,878.52 and 5,353.27

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Solution

The fourth proportional to 9,332.42, 12,878.52 and 5,353.27 is: 7,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.42 : 12,878.52 = 5,353.27 : x
  2. Step 2: Convert to fraction form
    9,332.42/12,878.52 = 5,353.27/x
  3. Step 3: Cross multiply
    9,332.42x = 12,878.52 × 5,353.27
  4. Step 4: Simplify right side
    9,332.42x = 68,942,103.60
  5. Step 5: Solve for x
    x = 68,942,103.60/9,332.42
  6. Step 6: Final answer
    x = 7,387.38

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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.