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Finding the Fourth Proportional to 9,692.28, 13,382.10 and 6,510.42

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Solution

The fourth proportional to 9,692.28, 13,382.10 and 6,510.42 is: 8,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.28 : 13,382.10 = 6,510.42 : x
  2. Step 2: Convert to fraction form
    9,692.28/13,382.10 = 6,510.42/x
  3. Step 3: Cross multiply
    9,692.28x = 13,382.10 × 6,510.42
  4. Step 4: Simplify right side
    9,692.28x = 87,123,091.48
  5. Step 5: Solve for x
    x = 87,123,091.48/9,692.28
  6. Step 6: Final answer
    x = 8,988.92

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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.