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Finding the Fourth Proportional to 6,455.10, 9,682.65 and 3,992.70

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Solution

The fourth proportional to 6,455.10, 9,682.65 and 3,992.70 is: 5,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.10 : 9,682.65 = 3,992.70 : x
  2. Step 2: Convert to fraction form
    6,455.10/9,682.65 = 3,992.70/x
  3. Step 3: Cross multiply
    6,455.10x = 9,682.65 × 3,992.70
  4. Step 4: Simplify right side
    6,455.10x = 38,659,916.66
  5. Step 5: Solve for x
    x = 38,659,916.66/6,455.10
  6. Step 6: Final answer
    x = 5,989.05

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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.