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Finding the Fourth Proportional to 6,762.86, 9,344.67 and 5,204.42

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Solution

The fourth proportional to 6,762.86, 9,344.67 and 5,204.42 is: 7,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.86 : 9,344.67 = 5,204.42 : x
  2. Step 2: Convert to fraction form
    6,762.86/9,344.67 = 5,204.42/x
  3. Step 3: Cross multiply
    6,762.86x = 9,344.67 × 5,204.42
  4. Step 4: Simplify right side
    6,762.86x = 48,633,587.44
  5. Step 5: Solve for x
    x = 48,633,587.44/6,762.86
  6. Step 6: Final answer
    x = 7,191.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.