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Finding the Fourth Proportional to 9,744.14, 13,446.90 and 5,267.89

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Solution

The fourth proportional to 9,744.14, 13,446.90 and 5,267.89 is: 7,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.14 : 13,446.90 = 5,267.89 : x
  2. Step 2: Convert to fraction form
    9,744.14/13,446.90 = 5,267.89/x
  3. Step 3: Cross multiply
    9,744.14x = 13,446.90 × 5,267.89
  4. Step 4: Simplify right side
    9,744.14x = 70,836,803.21
  5. Step 5: Solve for x
    x = 70,836,803.21/9,744.14
  6. Step 6: Final answer
    x = 7,269.68

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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.