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Finding the Fourth Proportional to 9,690.66, 13,372.65 and 5,963.94

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Solution

The fourth proportional to 9,690.66, 13,372.65 and 5,963.94 is: 8,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.66 : 13,372.65 = 5,963.94 : x
  2. Step 2: Convert to fraction form
    9,690.66/13,372.65 = 5,963.94/x
  3. Step 3: Cross multiply
    9,690.66x = 13,372.65 × 5,963.94
  4. Step 4: Simplify right side
    9,690.66x = 79,753,682.24
  5. Step 5: Solve for x
    x = 79,753,682.24/9,690.66
  6. Step 6: Final answer
    x = 8,229.95

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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.