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Finding the Fourth Proportional to 9,411.43, 14,123.82 and 3,869.83

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Solution

The fourth proportional to 9,411.43, 14,123.82 and 3,869.83 is: 5,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.43 : 14,123.82 = 3,869.83 : x
  2. Step 2: Convert to fraction form
    9,411.43/14,123.82 = 3,869.83/x
  3. Step 3: Cross multiply
    9,411.43x = 14,123.82 × 3,869.83
  4. Step 4: Simplify right side
    9,411.43x = 54,656,782.35
  5. Step 5: Solve for x
    x = 54,656,782.35/9,411.43
  6. Step 6: Final answer
    x = 5,807.49

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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.