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Finding the Fourth Proportional to 6,462.30, 8,918.82 and 3,809.96

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Solution

The fourth proportional to 6,462.30, 8,918.82 and 3,809.96 is: 5,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.30 : 8,918.82 = 3,809.96 : x
  2. Step 2: Convert to fraction form
    6,462.30/8,918.82 = 3,809.96/x
  3. Step 3: Cross multiply
    6,462.30x = 8,918.82 × 3,809.96
  4. Step 4: Simplify right side
    6,462.30x = 33,980,302.85
  5. Step 5: Solve for x
    x = 33,980,302.85/6,462.30
  6. Step 6: Final answer
    x = 5,258.24

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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.