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Finding the Fourth Proportional to 6,666.35, 9,199.98 and 3,682.17

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Solution

The fourth proportional to 6,666.35, 9,199.98 and 3,682.17 is: 5,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.35 : 9,199.98 = 3,682.17 : x
  2. Step 2: Convert to fraction form
    6,666.35/9,199.98 = 3,682.17/x
  3. Step 3: Cross multiply
    6,666.35x = 9,199.98 × 3,682.17
  4. Step 4: Simplify right side
    6,666.35x = 33,875,890.36
  5. Step 5: Solve for x
    x = 33,875,890.36/6,666.35
  6. Step 6: Final answer
    x = 5,081.62

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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.