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Finding the Fourth Proportional to 9,315.29, 13,963.20 and 3,766.38

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Solution

The fourth proportional to 9,315.29, 13,963.20 and 3,766.38 is: 5,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.29 : 13,963.20 = 3,766.38 : x
  2. Step 2: Convert to fraction form
    9,315.29/13,963.20 = 3,766.38/x
  3. Step 3: Cross multiply
    9,315.29x = 13,963.20 × 3,766.38
  4. Step 4: Simplify right side
    9,315.29x = 52,590,717.22
  5. Step 5: Solve for x
    x = 52,590,717.22/9,315.29
  6. Step 6: Final answer
    x = 5,645.64

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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.