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Finding the Fourth Proportional to 9,916.36, 14,876.51 and 3,344.42

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Solution

The fourth proportional to 9,916.36, 14,876.51 and 3,344.42 is: 5,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.36 : 14,876.51 = 3,344.42 : x
  2. Step 2: Convert to fraction form
    9,916.36/14,876.51 = 3,344.42/x
  3. Step 3: Cross multiply
    9,916.36x = 14,876.51 × 3,344.42
  4. Step 4: Simplify right side
    9,916.36x = 49,753,280.85
  5. Step 5: Solve for x
    x = 49,753,280.85/9,916.36
  6. Step 6: Final answer
    x = 5,017.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.