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Finding the Fourth Proportional to 9,761.14, 14,642.31 and 3,916.99

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Solution

The fourth proportional to 9,761.14, 14,642.31 and 3,916.99 is: 5,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.14 : 14,642.31 = 3,916.99 : x
  2. Step 2: Convert to fraction form
    9,761.14/14,642.31 = 3,916.99/x
  3. Step 3: Cross multiply
    9,761.14x = 14,642.31 × 3,916.99
  4. Step 4: Simplify right side
    9,761.14x = 57,353,781.85
  5. Step 5: Solve for x
    x = 57,353,781.85/9,761.14
  6. Step 6: Final answer
    x = 5,875.73

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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.