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Finding the Fourth Proportional to 6,446.08, 9,670.32 and 2,064.64

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Solution

The fourth proportional to 6,446.08, 9,670.32 and 2,064.64 is: 3,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.08 : 9,670.32 = 2,064.64 : x
  2. Step 2: Convert to fraction form
    6,446.08/9,670.32 = 2,064.64/x
  3. Step 3: Cross multiply
    6,446.08x = 9,670.32 × 2,064.64
  4. Step 4: Simplify right side
    6,446.08x = 19,965,729.48
  5. Step 5: Solve for x
    x = 19,965,729.48/6,446.08
  6. Step 6: Final answer
    x = 3,097.34

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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.