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Finding the Fourth Proportional to 6,723.14, 9,278.75 and 4,364.42

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Solution

The fourth proportional to 6,723.14, 9,278.75 and 4,364.42 is: 6,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.14 : 9,278.75 = 4,364.42 : x
  2. Step 2: Convert to fraction form
    6,723.14/9,278.75 = 4,364.42/x
  3. Step 3: Cross multiply
    6,723.14x = 9,278.75 × 4,364.42
  4. Step 4: Simplify right side
    6,723.14x = 40,496,326.59
  5. Step 5: Solve for x
    x = 40,496,326.59/6,723.14
  6. Step 6: Final answer
    x = 6,023.43

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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.