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Finding the Fourth Proportional to 6,427.55, 9,642.74 and 2,732.94

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Solution

The fourth proportional to 6,427.55, 9,642.74 and 2,732.94 is: 4,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.55 : 9,642.74 = 2,732.94 : x
  2. Step 2: Convert to fraction form
    6,427.55/9,642.74 = 2,732.94/x
  3. Step 3: Cross multiply
    6,427.55x = 9,642.74 × 2,732.94
  4. Step 4: Simplify right side
    6,427.55x = 26,353,016.19
  5. Step 5: Solve for x
    x = 26,353,016.19/6,427.55
  6. Step 6: Final answer
    x = 4,100.01

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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.