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Finding the Fourth Proportional to 9,932.30, 14,906.55 and 9,608.30

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Solution

The fourth proportional to 9,932.30, 14,906.55 and 9,608.30 is: 14,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.30 : 14,906.55 = 9,608.30 : x
  2. Step 2: Convert to fraction form
    9,932.30/14,906.55 = 9,608.30/x
  3. Step 3: Cross multiply
    9,932.30x = 14,906.55 × 9,608.30
  4. Step 4: Simplify right side
    9,932.30x = 143,226,604.37
  5. Step 5: Solve for x
    x = 143,226,604.37/9,932.30
  6. Step 6: Final answer
    x = 14,420.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.