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Finding the Fourth Proportional to 6,772.86, 9,346.55 and 3,788.69

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Solution

The fourth proportional to 6,772.86, 9,346.55 and 3,788.69 is: 5,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.86 : 9,346.55 = 3,788.69 : x
  2. Step 2: Convert to fraction form
    6,772.86/9,346.55 = 3,788.69/x
  3. Step 3: Cross multiply
    6,772.86x = 9,346.55 × 3,788.69
  4. Step 4: Simplify right side
    6,772.86x = 35,411,217.50
  5. Step 5: Solve for x
    x = 35,411,217.50/6,772.86
  6. Step 6: Final answer
    x = 5,228.40

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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.