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Finding the Fourth Proportional to 9,381.93, 14,069.46 and 2,805.90

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Solution

The fourth proportional to 9,381.93, 14,069.46 and 2,805.90 is: 4,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.93 : 14,069.46 = 2,805.90 : x
  2. Step 2: Convert to fraction form
    9,381.93/14,069.46 = 2,805.90/x
  3. Step 3: Cross multiply
    9,381.93x = 14,069.46 × 2,805.90
  4. Step 4: Simplify right side
    9,381.93x = 39,477,497.81
  5. Step 5: Solve for x
    x = 39,477,497.81/9,381.93
  6. Step 6: Final answer
    x = 4,207.82

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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.