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Finding the Fourth Proportional to 9,083, 13,617.14 and 2,839.80

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Solution

The fourth proportional to 9,083, 13,617.14 and 2,839.80 is: 4,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083 : 13,617.14 = 2,839.80 : x
  2. Step 2: Convert to fraction form
    9,083/13,617.14 = 2,839.80/x
  3. Step 3: Cross multiply
    9,083x = 13,617.14 × 2,839.80
  4. Step 4: Simplify right side
    9,083x = 38,669,954.17
  5. Step 5: Solve for x
    x = 38,669,954.17/9,083
  6. Step 6: Final answer
    x = 4,257.40

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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.