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Finding the Fourth Proportional to 9,744.49, 13,448.19 and 5,764.96

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Solution

The fourth proportional to 9,744.49, 13,448.19 and 5,764.96 is: 7,956.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.49 : 13,448.19 = 5,764.96 : x
  2. Step 2: Convert to fraction form
    9,744.49/13,448.19 = 5,764.96/x
  3. Step 3: Cross multiply
    9,744.49x = 13,448.19 × 5,764.96
  4. Step 4: Simplify right side
    9,744.49x = 77,528,277.42
  5. Step 5: Solve for x
    x = 77,528,277.42/9,744.49
  6. Step 6: Final answer
    x = 7,956.11

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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.