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Finding the Fourth Proportional to 9,855.24, 13,601.92 and 9,412.36

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Solution

The fourth proportional to 9,855.24, 13,601.92 and 9,412.36 is: 12,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.24 : 13,601.92 = 9,412.36 : x
  2. Step 2: Convert to fraction form
    9,855.24/13,601.92 = 9,412.36/x
  3. Step 3: Cross multiply
    9,855.24x = 13,601.92 × 9,412.36
  4. Step 4: Simplify right side
    9,855.24x = 128,026,167.73
  5. Step 5: Solve for x
    x = 128,026,167.73/9,855.24
  6. Step 6: Final answer
    x = 12,990.67

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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.