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Finding the Fourth Proportional to 6,772.68, 9,346.26 and 3,788.52

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Solution

The fourth proportional to 6,772.68, 9,346.26 and 3,788.52 is: 5,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.68 : 9,346.26 = 3,788.52 : x
  2. Step 2: Convert to fraction form
    6,772.68/9,346.26 = 3,788.52/x
  3. Step 3: Cross multiply
    6,772.68x = 9,346.26 × 3,788.52
  4. Step 4: Simplify right side
    6,772.68x = 35,408,492.94
  5. Step 5: Solve for x
    x = 35,408,492.94/6,772.68
  6. Step 6: Final answer
    x = 5,228.14

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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.