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Finding the Fourth Proportional to 9,692.39, 13,376.27 and 5,443.74

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Solution

The fourth proportional to 9,692.39, 13,376.27 and 5,443.74 is: 7,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.39 : 13,376.27 = 5,443.74 : x
  2. Step 2: Convert to fraction form
    9,692.39/13,376.27 = 5,443.74/x
  3. Step 3: Cross multiply
    9,692.39x = 13,376.27 × 5,443.74
  4. Step 4: Simplify right side
    9,692.39x = 72,816,908.83
  5. Step 5: Solve for x
    x = 72,816,908.83/9,692.39
  6. Step 6: Final answer
    x = 7,512.79

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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.