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Finding the Fourth Proportional to 9,381.58, 14,067.16 and 3,838.81

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Solution

The fourth proportional to 9,381.58, 14,067.16 and 3,838.81 is: 5,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.58 : 14,067.16 = 3,838.81 : x
  2. Step 2: Convert to fraction form
    9,381.58/14,067.16 = 3,838.81/x
  3. Step 3: Cross multiply
    9,381.58x = 14,067.16 × 3,838.81
  4. Step 4: Simplify right side
    9,381.58x = 54,001,154.48
  5. Step 5: Solve for x
    x = 54,001,154.48/9,381.58
  6. Step 6: Final answer
    x = 5,756.08

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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.