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Finding the Fourth Proportional to 9,166.08, 12,648.42 and 5,389.38

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Solution

The fourth proportional to 9,166.08, 12,648.42 and 5,389.38 is: 7,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.08 : 12,648.42 = 5,389.38 : x
  2. Step 2: Convert to fraction form
    9,166.08/12,648.42 = 5,389.38/x
  3. Step 3: Cross multiply
    9,166.08x = 12,648.42 × 5,389.38
  4. Step 4: Simplify right side
    9,166.08x = 68,167,141.78
  5. Step 5: Solve for x
    x = 68,167,141.78/9,166.08
  6. Step 6: Final answer
    x = 7,436.89

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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.