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Finding the Fourth Proportional to 9,355.72, 14,033.88 and 2,781.84

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Solution

The fourth proportional to 9,355.72, 14,033.88 and 2,781.84 is: 4,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.72 : 14,033.88 = 2,781.84 : x
  2. Step 2: Convert to fraction form
    9,355.72/14,033.88 = 2,781.84/x
  3. Step 3: Cross multiply
    9,355.72x = 14,033.88 × 2,781.84
  4. Step 4: Simplify right side
    9,355.72x = 39,040,008.74
  5. Step 5: Solve for x
    x = 39,040,008.74/9,355.72
  6. Step 6: Final answer
    x = 4,172.85

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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.