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Finding the Fourth Proportional to 6,663.77, 9,195.94 and 3,679.61

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Solution

The fourth proportional to 6,663.77, 9,195.94 and 3,679.61 is: 5,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.77 : 9,195.94 = 3,679.61 : x
  2. Step 2: Convert to fraction form
    6,663.77/9,195.94 = 3,679.61/x
  3. Step 3: Cross multiply
    6,663.77x = 9,195.94 × 3,679.61
  4. Step 4: Simplify right side
    6,663.77x = 33,837,417.60
  5. Step 5: Solve for x
    x = 33,837,417.60/6,663.77
  6. Step 6: Final answer
    x = 5,077.82

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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.