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Finding the Fourth Proportional to 7,232.69, 9,963.27 and 6,166.98

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Solution

The fourth proportional to 7,232.69, 9,963.27 and 6,166.98 is: 8,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.69 : 9,963.27 = 6,166.98 : x
  2. Step 2: Convert to fraction form
    7,232.69/9,963.27 = 6,166.98/x
  3. Step 3: Cross multiply
    7,232.69x = 9,963.27 × 6,166.98
  4. Step 4: Simplify right side
    7,232.69x = 61,443,286.82
  5. Step 5: Solve for x
    x = 61,443,286.82/7,232.69
  6. Step 6: Final answer
    x = 8,495.23

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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.