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Finding the Fourth Proportional to 6,296.92, 8,685.02 and 6,017.76

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Solution

The fourth proportional to 6,296.92, 8,685.02 and 6,017.76 is: 8,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.92 : 8,685.02 = 6,017.76 : x
  2. Step 2: Convert to fraction form
    6,296.92/8,685.02 = 6,017.76/x
  3. Step 3: Cross multiply
    6,296.92x = 8,685.02 × 6,017.76
  4. Step 4: Simplify right side
    6,296.92x = 52,264,365.96
  5. Step 5: Solve for x
    x = 52,264,365.96/6,296.92
  6. Step 6: Final answer
    x = 8,299.99

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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.