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Finding the Fourth Proportional to 9,366.27, 14,035.50 and 3,812.82

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Solution

The fourth proportional to 9,366.27, 14,035.50 and 3,812.82 is: 5,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.27 : 14,035.50 = 3,812.82 : x
  2. Step 2: Convert to fraction form
    9,366.27/14,035.50 = 3,812.82/x
  3. Step 3: Cross multiply
    9,366.27x = 14,035.50 × 3,812.82
  4. Step 4: Simplify right side
    9,366.27x = 53,514,835.11
  5. Step 5: Solve for x
    x = 53,514,835.11/9,366.27
  6. Step 6: Final answer
    x = 5,713.57

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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.