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Finding the Fourth Proportional to 9,444.78, 13,033.80 and 5,196.17

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Solution

The fourth proportional to 9,444.78, 13,033.80 and 5,196.17 is: 7,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.78 : 13,033.80 = 5,196.17 : x
  2. Step 2: Convert to fraction form
    9,444.78/13,033.80 = 5,196.17/x
  3. Step 3: Cross multiply
    9,444.78x = 13,033.80 × 5,196.17
  4. Step 4: Simplify right side
    9,444.78x = 67,725,775.38
  5. Step 5: Solve for x
    x = 67,725,775.38/9,444.78
  6. Step 6: Final answer
    x = 7,170.71

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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.