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Finding the Fourth Proportional to 9,388.29, 12,956.25 and 5,196.54

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Solution

The fourth proportional to 9,388.29, 12,956.25 and 5,196.54 is: 7,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.29 : 12,956.25 = 5,196.54 : x
  2. Step 2: Convert to fraction form
    9,388.29/12,956.25 = 5,196.54/x
  3. Step 3: Cross multiply
    9,388.29x = 12,956.25 × 5,196.54
  4. Step 4: Simplify right side
    9,388.29x = 67,327,671.38
  5. Step 5: Solve for x
    x = 67,327,671.38/9,388.29
  6. Step 6: Final answer
    x = 7,171.45

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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.