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Finding the Fourth Proportional to 9,404.28, 12,977.82 and 5,212.26

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Solution

The fourth proportional to 9,404.28, 12,977.82 and 5,212.26 is: 7,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.28 : 12,977.82 = 5,212.26 : x
  2. Step 2: Convert to fraction form
    9,404.28/12,977.82 = 5,212.26/x
  3. Step 3: Cross multiply
    9,404.28x = 12,977.82 × 5,212.26
  4. Step 4: Simplify right side
    9,404.28x = 67,643,772.07
  5. Step 5: Solve for x
    x = 67,643,772.07/9,404.28
  6. Step 6: Final answer
    x = 7,192.87

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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.