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Finding the Fourth Proportional to 9,123.64, 13,683.84 and 2,550.49

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Solution

The fourth proportional to 9,123.64, 13,683.84 and 2,550.49 is: 3,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.64 : 13,683.84 = 2,550.49 : x
  2. Step 2: Convert to fraction form
    9,123.64/13,683.84 = 2,550.49/x
  3. Step 3: Cross multiply
    9,123.64x = 13,683.84 × 2,550.49
  4. Step 4: Simplify right side
    9,123.64x = 34,900,497.08
  5. Step 5: Solve for x
    x = 34,900,497.08/9,123.64
  6. Step 6: Final answer
    x = 3,825.28

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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.