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Finding the Fourth Proportional to 9,123.78, 13,685.94 and 2,549.64

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Solution

The fourth proportional to 9,123.78, 13,685.94 and 2,549.64 is: 3,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.78 : 13,685.94 = 2,549.64 : x
  2. Step 2: Convert to fraction form
    9,123.78/13,685.94 = 2,549.64/x
  3. Step 3: Cross multiply
    9,123.78x = 13,685.94 × 2,549.64
  4. Step 4: Simplify right side
    9,123.78x = 34,894,220.06
  5. Step 5: Solve for x
    x = 34,894,220.06/9,123.78
  6. Step 6: Final answer
    x = 3,824.54

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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.