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Finding the Fourth Proportional to 9,651.48, 14,468.82 and 3,806.64

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Solution

The fourth proportional to 9,651.48, 14,468.82 and 3,806.64 is: 5,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.48 : 14,468.82 = 3,806.64 : x
  2. Step 2: Convert to fraction form
    9,651.48/14,468.82 = 3,806.64/x
  3. Step 3: Cross multiply
    9,651.48x = 14,468.82 × 3,806.64
  4. Step 4: Simplify right side
    9,651.48x = 55,077,588.96
  5. Step 5: Solve for x
    x = 55,077,588.96/9,651.48
  6. Step 6: Final answer
    x = 5,706.65

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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.