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Finding the Fourth Proportional to 9,123.90, 13,684.66 and 2,884.54

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Solution

The fourth proportional to 9,123.90, 13,684.66 and 2,884.54 is: 4,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.90 : 13,684.66 = 2,884.54 : x
  2. Step 2: Convert to fraction form
    9,123.90/13,684.66 = 2,884.54/x
  3. Step 3: Cross multiply
    9,123.90x = 13,684.66 × 2,884.54
  4. Step 4: Simplify right side
    9,123.90x = 39,473,880.73
  5. Step 5: Solve for x
    x = 39,473,880.73/9,123.90
  6. Step 6: Final answer
    x = 4,326.43

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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.