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Finding the Fourth Proportional to 9,827.89, 14,741.93 and 3,983.13

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Solution

The fourth proportional to 9,827.89, 14,741.93 and 3,983.13 is: 5,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.89 : 14,741.93 = 3,983.13 : x
  2. Step 2: Convert to fraction form
    9,827.89/14,741.93 = 3,983.13/x
  3. Step 3: Cross multiply
    9,827.89x = 14,741.93 × 3,983.13
  4. Step 4: Simplify right side
    9,827.89x = 58,719,023.64
  5. Step 5: Solve for x
    x = 58,719,023.64/9,827.89
  6. Step 6: Final answer
    x = 5,974.73

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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.