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Finding the Fourth Proportional to 6,326.51, 9,489.56 and 2,168.64

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Solution

The fourth proportional to 6,326.51, 9,489.56 and 2,168.64 is: 3,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.51 : 9,489.56 = 2,168.64 : x
  2. Step 2: Convert to fraction form
    6,326.51/9,489.56 = 2,168.64/x
  3. Step 3: Cross multiply
    6,326.51x = 9,489.56 × 2,168.64
  4. Step 4: Simplify right side
    6,326.51x = 20,579,428.56
  5. Step 5: Solve for x
    x = 20,579,428.56/6,326.51
  6. Step 6: Final answer
    x = 3,252.89

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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.