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Finding the Fourth Proportional to 6,464.68, 9,701.82 and 4,272.52

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Solution

The fourth proportional to 6,464.68, 9,701.82 and 4,272.52 is: 6,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.68 : 9,701.82 = 4,272.52 : x
  2. Step 2: Convert to fraction form
    6,464.68/9,701.82 = 4,272.52/x
  3. Step 3: Cross multiply
    6,464.68x = 9,701.82 × 4,272.52
  4. Step 4: Simplify right side
    6,464.68x = 41,451,219.99
  5. Step 5: Solve for x
    x = 41,451,219.99/6,464.68
  6. Step 6: Final answer
    x = 6,411.95

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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.