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Finding the Fourth Proportional to 6,923.15, 10,331.74 and 6,184.43

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Solution

The fourth proportional to 6,923.15, 10,331.74 and 6,184.43 is: 9,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.15 : 10,331.74 = 6,184.43 : x
  2. Step 2: Convert to fraction form
    6,923.15/10,331.74 = 6,184.43/x
  3. Step 3: Cross multiply
    6,923.15x = 10,331.74 × 6,184.43
  4. Step 4: Simplify right side
    6,923.15x = 63,895,840.23
  5. Step 5: Solve for x
    x = 63,895,840.23/6,923.15
  6. Step 6: Final answer
    x = 9,229.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.