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Finding the Fourth Proportional to 9,230.49, 13,845.25 and 2,656.42

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Solution

The fourth proportional to 9,230.49, 13,845.25 and 2,656.42 is: 3,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.49 : 13,845.25 = 2,656.42 : x
  2. Step 2: Convert to fraction form
    9,230.49/13,845.25 = 2,656.42/x
  3. Step 3: Cross multiply
    9,230.49x = 13,845.25 × 2,656.42
  4. Step 4: Simplify right side
    9,230.49x = 36,778,799.01
  5. Step 5: Solve for x
    x = 36,778,799.01/9,230.49
  6. Step 6: Final answer
    x = 3,984.49

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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.