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Finding the Fourth Proportional to 6,865.20, 9,474.84 and 4,070.88

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Solution

The fourth proportional to 6,865.20, 9,474.84 and 4,070.88 is: 5,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.20 : 9,474.84 = 4,070.88 : x
  2. Step 2: Convert to fraction form
    6,865.20/9,474.84 = 4,070.88/x
  3. Step 3: Cross multiply
    6,865.20x = 9,474.84 × 4,070.88
  4. Step 4: Simplify right side
    6,865.20x = 38,570,936.66
  5. Step 5: Solve for x
    x = 38,570,936.66/6,865.20
  6. Step 6: Final answer
    x = 5,618.33

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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.