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Finding the Fourth Proportional to 6,294.52, 8,686.37 and 3,462.09

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Solution

The fourth proportional to 6,294.52, 8,686.37 and 3,462.09 is: 4,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.52 : 8,686.37 = 3,462.09 : x
  2. Step 2: Convert to fraction form
    6,294.52/8,686.37 = 3,462.09/x
  3. Step 3: Cross multiply
    6,294.52x = 8,686.37 × 3,462.09
  4. Step 4: Simplify right side
    6,294.52x = 30,072,994.71
  5. Step 5: Solve for x
    x = 30,072,994.71/6,294.52
  6. Step 6: Final answer
    x = 4,777.65

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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.