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Finding the Fourth Proportional to 6,446.68, 8,899.14 and 4,353.64

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Solution

The fourth proportional to 6,446.68, 8,899.14 and 4,353.64 is: 6,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.68 : 8,899.14 = 4,353.64 : x
  2. Step 2: Convert to fraction form
    6,446.68/8,899.14 = 4,353.64/x
  3. Step 3: Cross multiply
    6,446.68x = 8,899.14 × 4,353.64
  4. Step 4: Simplify right side
    6,446.68x = 38,743,651.87
  5. Step 5: Solve for x
    x = 38,743,651.87/6,446.68
  6. Step 6: Final answer
    x = 6,009.86

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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.