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Finding the Fourth Proportional to 9,396.17, 14,093.13 and 2,471.21

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Solution

The fourth proportional to 9,396.17, 14,093.13 and 2,471.21 is: 3,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.17 : 14,093.13 = 2,471.21 : x
  2. Step 2: Convert to fraction form
    9,396.17/14,093.13 = 2,471.21/x
  3. Step 3: Cross multiply
    9,396.17x = 14,093.13 × 2,471.21
  4. Step 4: Simplify right side
    9,396.17x = 34,827,007.14
  5. Step 5: Solve for x
    x = 34,827,007.14/9,396.17
  6. Step 6: Final answer
    x = 3,706.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.