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Finding the Fourth Proportional to 9,381.81, 14,074.42 and 4,451.40

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Solution

The fourth proportional to 9,381.81, 14,074.42 and 4,451.40 is: 6,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.81 : 14,074.42 = 4,451.40 : x
  2. Step 2: Convert to fraction form
    9,381.81/14,074.42 = 4,451.40/x
  3. Step 3: Cross multiply
    9,381.81x = 14,074.42 × 4,451.40
  4. Step 4: Simplify right side
    9,381.81x = 62,650,850.93
  5. Step 5: Solve for x
    x = 62,650,850.93/9,381.81
  6. Step 6: Final answer
    x = 6,677.91

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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.