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Finding the Fourth Proportional to 6,934.43, 9,563.84 and 4,692.75

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Solution

The fourth proportional to 6,934.43, 9,563.84 and 4,692.75 is: 6,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.43 : 9,563.84 = 4,692.75 : x
  2. Step 2: Convert to fraction form
    6,934.43/9,563.84 = 4,692.75/x
  3. Step 3: Cross multiply
    6,934.43x = 9,563.84 × 4,692.75
  4. Step 4: Simplify right side
    6,934.43x = 44,880,686.70
  5. Step 5: Solve for x
    x = 44,880,686.70/6,934.43
  6. Step 6: Final answer
    x = 6,472.16

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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.