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Finding the Fourth Proportional to 9,230.31, 13,846.38 and 2,657.46

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Solution

The fourth proportional to 9,230.31, 13,846.38 and 2,657.46 is: 3,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.31 : 13,846.38 = 2,657.46 : x
  2. Step 2: Convert to fraction form
    9,230.31/13,846.38 = 2,657.46/x
  3. Step 3: Cross multiply
    9,230.31x = 13,846.38 × 2,657.46
  4. Step 4: Simplify right side
    9,230.31x = 36,796,200.99
  5. Step 5: Solve for x
    x = 36,796,200.99/9,230.31
  6. Step 6: Final answer
    x = 3,986.45

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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.