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Finding the Fourth Proportional to 6,252.64, 9,369.54 and 4,165.28

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Solution

The fourth proportional to 6,252.64, 9,369.54 and 4,165.28 is: 6,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.64 : 9,369.54 = 4,165.28 : x
  2. Step 2: Convert to fraction form
    6,252.64/9,369.54 = 4,165.28/x
  3. Step 3: Cross multiply
    6,252.64x = 9,369.54 × 4,165.28
  4. Step 4: Simplify right side
    6,252.64x = 39,026,757.57
  5. Step 5: Solve for x
    x = 39,026,757.57/6,252.64
  6. Step 6: Final answer
    x = 6,241.64

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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.