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Finding the Fourth Proportional to 6,439.48, 9,656.73 and 2,743.42

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Solution

The fourth proportional to 6,439.48, 9,656.73 and 2,743.42 is: 4,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.48 : 9,656.73 = 2,743.42 : x
  2. Step 2: Convert to fraction form
    6,439.48/9,656.73 = 2,743.42/x
  3. Step 3: Cross multiply
    6,439.48x = 9,656.73 × 2,743.42
  4. Step 4: Simplify right side
    6,439.48x = 26,492,466.22
  5. Step 5: Solve for x
    x = 26,492,466.22/6,439.48
  6. Step 6: Final answer
    x = 4,114.07

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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.