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Finding the Fourth Proportional to 9,381.81, 14,044.67 and 5,672.82

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Solution

The fourth proportional to 9,381.81, 14,044.67 and 5,672.82 is: 8,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.81 : 14,044.67 = 5,672.82 : x
  2. Step 2: Convert to fraction form
    9,381.81/14,044.67 = 5,672.82/x
  3. Step 3: Cross multiply
    9,381.81x = 14,044.67 × 5,672.82
  4. Step 4: Simplify right side
    9,381.81x = 79,672,884.87
  5. Step 5: Solve for x
    x = 79,672,884.87/9,381.81
  6. Step 6: Final answer
    x = 8,492.27

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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.