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Finding the Fourth Proportional to 6,467.25, 8,925.89 and 3,815.31

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Solution

The fourth proportional to 6,467.25, 8,925.89 and 3,815.31 is: 5,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.25 : 8,925.89 = 3,815.31 : x
  2. Step 2: Convert to fraction form
    6,467.25/8,925.89 = 3,815.31/x
  3. Step 3: Cross multiply
    6,467.25x = 8,925.89 × 3,815.31
  4. Step 4: Simplify right side
    6,467.25x = 34,055,018.30
  5. Step 5: Solve for x
    x = 34,055,018.30/6,467.25
  6. Step 6: Final answer
    x = 5,265.76

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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.