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Finding the Fourth Proportional to 9,381.36, 12,946.13 and 5,132.33

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Solution

The fourth proportional to 9,381.36, 12,946.13 and 5,132.33 is: 7,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.36 : 12,946.13 = 5,132.33 : x
  2. Step 2: Convert to fraction form
    9,381.36/12,946.13 = 5,132.33/x
  3. Step 3: Cross multiply
    9,381.36x = 12,946.13 × 5,132.33
  4. Step 4: Simplify right side
    9,381.36x = 66,443,811.38
  5. Step 5: Solve for x
    x = 66,443,811.38/9,381.36
  6. Step 6: Final answer
    x = 7,082.54

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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.