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Finding the Fourth Proportional to 6,314.32, 8,717.52 and 4,192.84

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Solution

The fourth proportional to 6,314.32, 8,717.52 and 4,192.84 is: 5,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.32 : 8,717.52 = 4,192.84 : x
  2. Step 2: Convert to fraction form
    6,314.32/8,717.52 = 4,192.84/x
  3. Step 3: Cross multiply
    6,314.32x = 8,717.52 × 4,192.84
  4. Step 4: Simplify right side
    6,314.32x = 36,551,166.56
  5. Step 5: Solve for x
    x = 36,551,166.56/6,314.32
  6. Step 6: Final answer
    x = 5,788.61

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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.