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Finding the Fourth Proportional to 9,409.94, 14,117.08 and 3,169.80

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Solution

The fourth proportional to 9,409.94, 14,117.08 and 3,169.80 is: 4,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.94 : 14,117.08 = 3,169.80 : x
  2. Step 2: Convert to fraction form
    9,409.94/14,117.08 = 3,169.80/x
  3. Step 3: Cross multiply
    9,409.94x = 14,117.08 × 3,169.80
  4. Step 4: Simplify right side
    9,409.94x = 44,748,320.18
  5. Step 5: Solve for x
    x = 44,748,320.18/9,409.94
  6. Step 6: Final answer
    x = 4,755.43

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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.