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Finding the Fourth Proportional to 9,381.78, 12,946.33 and 5,131.99

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Solution

The fourth proportional to 9,381.78, 12,946.33 and 5,131.99 is: 7,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.78 : 12,946.33 = 5,131.99 : x
  2. Step 2: Convert to fraction form
    9,381.78/12,946.33 = 5,131.99/x
  3. Step 3: Cross multiply
    9,381.78x = 12,946.33 × 5,131.99
  4. Step 4: Simplify right side
    9,381.78x = 66,440,436.10
  5. Step 5: Solve for x
    x = 66,440,436.10/9,381.78
  6. Step 6: Final answer
    x = 7,081.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.