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Finding the Fourth Proportional to 6,069.84, 8,377.19 and 3,417.77

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Solution

The fourth proportional to 6,069.84, 8,377.19 and 3,417.77 is: 4,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.84 : 8,377.19 = 3,417.77 : x
  2. Step 2: Convert to fraction form
    6,069.84/8,377.19 = 3,417.77/x
  3. Step 3: Cross multiply
    6,069.84x = 8,377.19 × 3,417.77
  4. Step 4: Simplify right side
    6,069.84x = 28,631,249.69
  5. Step 5: Solve for x
    x = 28,631,249.69/6,069.84
  6. Step 6: Final answer
    x = 4,716.97

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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.