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Finding the Fourth Proportional to 9,924.30, 13,692.78 and 7,092.54

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Solution

The fourth proportional to 9,924.30, 13,692.78 and 7,092.54 is: 9,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.30 : 13,692.78 = 7,092.54 : x
  2. Step 2: Convert to fraction form
    9,924.30/13,692.78 = 7,092.54/x
  3. Step 3: Cross multiply
    9,924.30x = 13,692.78 × 7,092.54
  4. Step 4: Simplify right side
    9,924.30x = 97,116,589.86
  5. Step 5: Solve for x
    x = 97,116,589.86/9,924.30
  6. Step 6: Final answer
    x = 9,785.74

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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.