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Finding the Fourth Proportional to 9,916.34, 14,876.31 and 8,083.71

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Solution

The fourth proportional to 9,916.34, 14,876.31 and 8,083.71 is: 12,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.34 : 14,876.31 = 8,083.71 : x
  2. Step 2: Convert to fraction form
    9,916.34/14,876.31 = 8,083.71/x
  3. Step 3: Cross multiply
    9,916.34x = 14,876.31 × 8,083.71
  4. Step 4: Simplify right side
    9,916.34x = 120,255,775.91
  5. Step 5: Solve for x
    x = 120,255,775.91/9,916.34
  6. Step 6: Final answer
    x = 12,127.04

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Why These Related Problems?

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