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Finding the Fourth Proportional to 6,865.90, 9,467.81 and 5,874.46

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Solution

The fourth proportional to 6,865.90, 9,467.81 and 5,874.46 is: 8,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.90 : 9,467.81 = 5,874.46 : x
  2. Step 2: Convert to fraction form
    6,865.90/9,467.81 = 5,874.46/x
  3. Step 3: Cross multiply
    6,865.90x = 9,467.81 × 5,874.46
  4. Step 4: Simplify right side
    6,865.90x = 55,618,271.13
  5. Step 5: Solve for x
    x = 55,618,271.13/6,865.90
  6. Step 6: Final answer
    x = 8,100.65

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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.