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Finding the Fourth Proportional to 6,447.40, 9,673.12 and 4,474.95

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Solution

The fourth proportional to 6,447.40, 9,673.12 and 4,474.95 is: 6,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.40 : 9,673.12 = 4,474.95 : x
  2. Step 2: Convert to fraction form
    6,447.40/9,673.12 = 4,474.95/x
  3. Step 3: Cross multiply
    6,447.40x = 9,673.12 × 4,474.95
  4. Step 4: Simplify right side
    6,447.40x = 43,286,697.66
  5. Step 5: Solve for x
    x = 43,286,697.66/6,447.40
  6. Step 6: Final answer
    x = 6,713.82

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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.