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Finding the Fourth Proportional to 6,447.83, 9,671.10 and 2,064.11

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Solution

The fourth proportional to 6,447.83, 9,671.10 and 2,064.11 is: 3,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.83 : 9,671.10 = 2,064.11 : x
  2. Step 2: Convert to fraction form
    6,447.83/9,671.10 = 2,064.11/x
  3. Step 3: Cross multiply
    6,447.83x = 9,671.10 × 2,064.11
  4. Step 4: Simplify right side
    6,447.83x = 19,962,214.22
  5. Step 5: Solve for x
    x = 19,962,214.22/6,447.83
  6. Step 6: Final answer
    x = 3,095.96

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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.