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Finding the Fourth Proportional to 9,601.46, 13,222.42 and 8,246.18

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Solution

The fourth proportional to 9,601.46, 13,222.42 and 8,246.18 is: 11,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.46 : 13,222.42 = 8,246.18 : x
  2. Step 2: Convert to fraction form
    9,601.46/13,222.42 = 8,246.18/x
  3. Step 3: Cross multiply
    9,601.46x = 13,222.42 × 8,246.18
  4. Step 4: Simplify right side
    9,601.46x = 109,034,455.36
  5. Step 5: Solve for x
    x = 109,034,455.36/9,601.46
  6. Step 6: Final answer
    x = 11,356.03

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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.