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Finding the Fourth Proportional to 9,669.70, 13,343.13 and 5,692.06

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Solution

The fourth proportional to 9,669.70, 13,343.13 and 5,692.06 is: 7,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.70 : 13,343.13 = 5,692.06 : x
  2. Step 2: Convert to fraction form
    9,669.70/13,343.13 = 5,692.06/x
  3. Step 3: Cross multiply
    9,669.70x = 13,343.13 × 5,692.06
  4. Step 4: Simplify right side
    9,669.70x = 75,949,896.55
  5. Step 5: Solve for x
    x = 75,949,896.55/9,669.70
  6. Step 6: Final answer
    x = 7,854.42

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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.