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Finding the Fourth Proportional to 6,294.68, 8,686.47 and 3,462.05

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Solution

The fourth proportional to 6,294.68, 8,686.47 and 3,462.05 is: 4,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.68 : 8,686.47 = 3,462.05 : x
  2. Step 2: Convert to fraction form
    6,294.68/8,686.47 = 3,462.05/x
  3. Step 3: Cross multiply
    6,294.68x = 8,686.47 × 3,462.05
  4. Step 4: Simplify right side
    6,294.68x = 30,072,993.46
  5. Step 5: Solve for x
    x = 30,072,993.46/6,294.68
  6. Step 6: Final answer
    x = 4,777.53

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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.