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Finding the Fourth Proportional to 6,476.56, 9,717.57 and 3,193.32

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Solution

The fourth proportional to 6,476.56, 9,717.57 and 3,193.32 is: 4,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.56 : 9,717.57 = 3,193.32 : x
  2. Step 2: Convert to fraction form
    6,476.56/9,717.57 = 3,193.32/x
  3. Step 3: Cross multiply
    6,476.56x = 9,717.57 × 3,193.32
  4. Step 4: Simplify right side
    6,476.56x = 31,031,347.07
  5. Step 5: Solve for x
    x = 31,031,347.07/6,476.56
  6. Step 6: Final answer
    x = 4,791.33

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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.