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Finding the Fourth Proportional to 6,446.06, 9,659.03 and 4,475.53

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Solution

The fourth proportional to 6,446.06, 9,659.03 and 4,475.53 is: 6,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.06 : 9,659.03 = 4,475.53 : x
  2. Step 2: Convert to fraction form
    6,446.06/9,659.03 = 4,475.53/x
  3. Step 3: Cross multiply
    6,446.06x = 9,659.03 × 4,475.53
  4. Step 4: Simplify right side
    6,446.06x = 43,229,268.23
  5. Step 5: Solve for x
    x = 43,229,268.23/6,446.06
  6. Step 6: Final answer
    x = 6,706.31

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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.