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Finding the Fourth Proportional to 6,658.35, 9,188.94 and 3,674.17

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Solution

The fourth proportional to 6,658.35, 9,188.94 and 3,674.17 is: 5,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.35 : 9,188.94 = 3,674.17 : x
  2. Step 2: Convert to fraction form
    6,658.35/9,188.94 = 3,674.17/x
  3. Step 3: Cross multiply
    6,658.35x = 9,188.94 × 3,674.17
  4. Step 4: Simplify right side
    6,658.35x = 33,761,727.68
  5. Step 5: Solve for x
    x = 33,761,727.68/6,658.35
  6. Step 6: Final answer
    x = 5,070.58

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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.