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Finding the Fourth Proportional to 6,154.43, 9,233.26 and 1,772.24

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Solution

The fourth proportional to 6,154.43, 9,233.26 and 1,772.24 is: 2,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.43 : 9,233.26 = 1,772.24 : x
  2. Step 2: Convert to fraction form
    6,154.43/9,233.26 = 1,772.24/x
  3. Step 3: Cross multiply
    6,154.43x = 9,233.26 × 1,772.24
  4. Step 4: Simplify right side
    6,154.43x = 16,363,502.11
  5. Step 5: Solve for x
    x = 16,363,502.11/6,154.43
  6. Step 6: Final answer
    x = 2,658.82

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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.