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Finding the Fourth Proportional to 9,057.42, 12,493.93 and 5,694.90

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Solution

The fourth proportional to 9,057.42, 12,493.93 and 5,694.90 is: 7,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.42 : 12,493.93 = 5,694.90 : x
  2. Step 2: Convert to fraction form
    9,057.42/12,493.93 = 5,694.90/x
  3. Step 3: Cross multiply
    9,057.42x = 12,493.93 × 5,694.90
  4. Step 4: Simplify right side
    9,057.42x = 71,151,653.48
  5. Step 5: Solve for x
    x = 71,151,653.48/9,057.42
  6. Step 6: Final answer
    x = 7,855.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.