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Finding the Fourth Proportional to 9,107.87, 12,570.46 and 8,692.34

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Solution

The fourth proportional to 9,107.87, 12,570.46 and 8,692.34 is: 11,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.87 : 12,570.46 = 8,692.34 : x
  2. Step 2: Convert to fraction form
    9,107.87/12,570.46 = 8,692.34/x
  3. Step 3: Cross multiply
    9,107.87x = 12,570.46 × 8,692.34
  4. Step 4: Simplify right side
    9,107.87x = 109,266,627.69
  5. Step 5: Solve for x
    x = 109,266,627.69/9,107.87
  6. Step 6: Final answer
    x = 11,996.95

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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.