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Finding the Fourth Proportional to 9,409.46, 14,116.34 and 3,169.31

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Solution

The fourth proportional to 9,409.46, 14,116.34 and 3,169.31 is: 4,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.46 : 14,116.34 = 3,169.31 : x
  2. Step 2: Convert to fraction form
    9,409.46/14,116.34 = 3,169.31/x
  3. Step 3: Cross multiply
    9,409.46x = 14,116.34 × 3,169.31
  4. Step 4: Simplify right side
    9,409.46x = 44,738,971.10
  5. Step 5: Solve for x
    x = 44,738,971.10/9,409.46
  6. Step 6: Final answer
    x = 4,754.68

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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.