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Finding the Fourth Proportional to 6,306.93, 9,468.63 and 4,236.17

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Solution

The fourth proportional to 6,306.93, 9,468.63 and 4,236.17 is: 6,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.93 : 9,468.63 = 4,236.17 : x
  2. Step 2: Convert to fraction form
    6,306.93/9,468.63 = 4,236.17/x
  3. Step 3: Cross multiply
    6,306.93x = 9,468.63 × 4,236.17
  4. Step 4: Simplify right side
    6,306.93x = 40,110,679.00
  5. Step 5: Solve for x
    x = 40,110,679.00/6,306.93
  6. Step 6: Final answer
    x = 6,359.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.