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Finding the Fourth Proportional to 9,669.84, 14,505.12 and 2,744.34

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Solution

The fourth proportional to 9,669.84, 14,505.12 and 2,744.34 is: 4,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.84 : 14,505.12 = 2,744.34 : x
  2. Step 2: Convert to fraction form
    9,669.84/14,505.12 = 2,744.34/x
  3. Step 3: Cross multiply
    9,669.84x = 14,505.12 × 2,744.34
  4. Step 4: Simplify right side
    9,669.84x = 39,806,981.02
  5. Step 5: Solve for x
    x = 39,806,981.02/9,669.84
  6. Step 6: Final answer
    x = 4,116.61

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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.