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Finding the Fourth Proportional to 6,164.49, 9,251.22 and 2,467.77

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Solution

The fourth proportional to 6,164.49, 9,251.22 and 2,467.77 is: 3,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.49 : 9,251.22 = 2,467.77 : x
  2. Step 2: Convert to fraction form
    6,164.49/9,251.22 = 2,467.77/x
  3. Step 3: Cross multiply
    6,164.49x = 9,251.22 × 2,467.77
  4. Step 4: Simplify right side
    6,164.49x = 22,829,883.18
  5. Step 5: Solve for x
    x = 22,829,883.18/6,164.49
  6. Step 6: Final answer
    x = 3,703.45

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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.