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Finding the Fourth Proportional to 6,218.31, 9,261.59 and 6,188.04

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Solution

The fourth proportional to 6,218.31, 9,261.59 and 6,188.04 is: 9,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.31 : 9,261.59 = 6,188.04 : x
  2. Step 2: Convert to fraction form
    6,218.31/9,261.59 = 6,188.04/x
  3. Step 3: Cross multiply
    6,218.31x = 9,261.59 × 6,188.04
  4. Step 4: Simplify right side
    6,218.31x = 57,311,104.85
  5. Step 5: Solve for x
    x = 57,311,104.85/6,218.31
  6. Step 6: Final answer
    x = 9,216.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.