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Finding the Fourth Proportional to 6,596.17, 9,894.56 and 3,672.27

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Solution

The fourth proportional to 6,596.17, 9,894.56 and 3,672.27 is: 5,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.17 : 9,894.56 = 3,672.27 : x
  2. Step 2: Convert to fraction form
    6,596.17/9,894.56 = 3,672.27/x
  3. Step 3: Cross multiply
    6,596.17x = 9,894.56 × 3,672.27
  4. Step 4: Simplify right side
    6,596.17x = 36,335,477.49
  5. Step 5: Solve for x
    x = 36,335,477.49/6,596.17
  6. Step 6: Final answer
    x = 5,508.57

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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.