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Finding the Fourth Proportional to 9,367.29, 12,916.35 and 6,384.87

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Solution

The fourth proportional to 9,367.29, 12,916.35 and 6,384.87 is: 8,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.29 : 12,916.35 = 6,384.87 : x
  2. Step 2: Convert to fraction form
    9,367.29/12,916.35 = 6,384.87/x
  3. Step 3: Cross multiply
    9,367.29x = 12,916.35 × 6,384.87
  4. Step 4: Simplify right side
    9,367.29x = 82,469,215.62
  5. Step 5: Solve for x
    x = 82,469,215.62/9,367.29
  6. Step 6: Final answer
    x = 8,803.96

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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.