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Finding the Fourth Proportional to 9,694.41, 13,379.54 and 5,916.78

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Solution

The fourth proportional to 9,694.41, 13,379.54 and 5,916.78 is: 8,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.41 : 13,379.54 = 5,916.78 : x
  2. Step 2: Convert to fraction form
    9,694.41/13,379.54 = 5,916.78/x
  3. Step 3: Cross multiply
    9,694.41x = 13,379.54 × 5,916.78
  4. Step 4: Simplify right side
    9,694.41x = 79,163,765.10
  5. Step 5: Solve for x
    x = 79,163,765.10/9,694.41
  6. Step 6: Final answer
    x = 8,165.92

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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.