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Finding the Fourth Proportional to 6,214.06, 8,573.22 and 3,695.32

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Solution

The fourth proportional to 6,214.06, 8,573.22 and 3,695.32 is: 5,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.06 : 8,573.22 = 3,695.32 : x
  2. Step 2: Convert to fraction form
    6,214.06/8,573.22 = 3,695.32/x
  3. Step 3: Cross multiply
    6,214.06x = 8,573.22 × 3,695.32
  4. Step 4: Simplify right side
    6,214.06x = 31,680,791.33
  5. Step 5: Solve for x
    x = 31,680,791.33/6,214.06
  6. Step 6: Final answer
    x = 5,098.24

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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.