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Finding the Fourth Proportional to 6,874.02, 9,486.23 and 3,730.23

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Solution

The fourth proportional to 6,874.02, 9,486.23 and 3,730.23 is: 5,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.02 : 9,486.23 = 3,730.23 : x
  2. Step 2: Convert to fraction form
    6,874.02/9,486.23 = 3,730.23/x
  3. Step 3: Cross multiply
    6,874.02x = 9,486.23 × 3,730.23
  4. Step 4: Simplify right side
    6,874.02x = 35,385,801.08
  5. Step 5: Solve for x
    x = 35,385,801.08/6,874.02
  6. Step 6: Final answer
    x = 5,147.76

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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.