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Finding the Fourth Proportional to 9,409.16, 14,114.43 and 3,169.14

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Solution

The fourth proportional to 9,409.16, 14,114.43 and 3,169.14 is: 4,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.16 : 14,114.43 = 3,169.14 : x
  2. Step 2: Convert to fraction form
    9,409.16/14,114.43 = 3,169.14/x
  3. Step 3: Cross multiply
    9,409.16x = 14,114.43 × 3,169.14
  4. Step 4: Simplify right side
    9,409.16x = 44,730,604.69
  5. Step 5: Solve for x
    x = 44,730,604.69/9,409.16
  6. Step 6: Final answer
    x = 4,753.94

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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.