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Finding the Fourth Proportional to 6,661.44, 9,188.64 and 4,178.88

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Solution

The fourth proportional to 6,661.44, 9,188.64 and 4,178.88 is: 5,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.44 : 9,188.64 = 4,178.88 : x
  2. Step 2: Convert to fraction form
    6,661.44/9,188.64 = 4,178.88/x
  3. Step 3: Cross multiply
    6,661.44x = 9,188.64 × 4,178.88
  4. Step 4: Simplify right side
    6,661.44x = 38,398,223.92
  5. Step 5: Solve for x
    x = 38,398,223.92/6,661.44
  6. Step 6: Final answer
    x = 5,764.25

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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.