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Finding the Fourth Proportional to 9,218.56, 13,827.72 and 2,293

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Solution

The fourth proportional to 9,218.56, 13,827.72 and 2,293 is: 3,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.56 : 13,827.72 = 2,293 : x
  2. Step 2: Convert to fraction form
    9,218.56/13,827.72 = 2,293/x
  3. Step 3: Cross multiply
    9,218.56x = 13,827.72 × 2,293
  4. Step 4: Simplify right side
    9,218.56x = 31,706,961.96
  5. Step 5: Solve for x
    x = 31,706,961.96/9,218.56
  6. Step 6: Final answer
    x = 3,439.47

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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.