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Finding the Fourth Proportional to 6,214.85, 8,573.61 and 3,695.55

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Solution

The fourth proportional to 6,214.85, 8,573.61 and 3,695.55 is: 5,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.85 : 8,573.61 = 3,695.55 : x
  2. Step 2: Convert to fraction form
    6,214.85/8,573.61 = 3,695.55/x
  3. Step 3: Cross multiply
    6,214.85x = 8,573.61 × 3,695.55
  4. Step 4: Simplify right side
    6,214.85x = 31,684,204.44
  5. Step 5: Solve for x
    x = 31,684,204.44/6,214.85
  6. Step 6: Final answer
    x = 5,098.14

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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.