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Finding the Fourth Proportional to 6,314.76, 8,717.32 and 3,661.66

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Solution

The fourth proportional to 6,314.76, 8,717.32 and 3,661.66 is: 5,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.76 : 8,717.32 = 3,661.66 : x
  2. Step 2: Convert to fraction form
    6,314.76/8,717.32 = 3,661.66/x
  3. Step 3: Cross multiply
    6,314.76x = 8,717.32 × 3,661.66
  4. Step 4: Simplify right side
    6,314.76x = 31,919,828.39
  5. Step 5: Solve for x
    x = 31,919,828.39/6,314.76
  6. Step 6: Final answer
    x = 5,054.80

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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.