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Finding the Fourth Proportional to 6,778.36, 9,354.95 and 4,126.15

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Solution

The fourth proportional to 6,778.36, 9,354.95 and 4,126.15 is: 5,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.36 : 9,354.95 = 4,126.15 : x
  2. Step 2: Convert to fraction form
    6,778.36/9,354.95 = 4,126.15/x
  3. Step 3: Cross multiply
    6,778.36x = 9,354.95 × 4,126.15
  4. Step 4: Simplify right side
    6,778.36x = 38,599,913.87
  5. Step 5: Solve for x
    x = 38,599,913.87/6,778.36
  6. Step 6: Final answer
    x = 5,694.58

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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.