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Finding the Fourth Proportional to 10,397.91, 14,348.43 and 5,922.12

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Solution

The fourth proportional to 10,397.91, 14,348.43 and 5,922.12 is: 8,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.91 : 14,348.43 = 5,922.12 : x
  2. Step 2: Convert to fraction form
    10,397.91/14,348.43 = 5,922.12/x
  3. Step 3: Cross multiply
    10,397.91x = 14,348.43 × 5,922.12
  4. Step 4: Simplify right side
    10,397.91x = 84,973,124.27
  5. Step 5: Solve for x
    x = 84,973,124.27/10,397.91
  6. Step 6: Final answer
    x = 8,172.14

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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.