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Finding the Fourth Proportional to 9,749.94, 13,452.93 and 5,769.06

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Solution

The fourth proportional to 9,749.94, 13,452.93 and 5,769.06 is: 7,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.94 : 13,452.93 = 5,769.06 : x
  2. Step 2: Convert to fraction form
    9,749.94/13,452.93 = 5,769.06/x
  3. Step 3: Cross multiply
    9,749.94x = 13,452.93 × 5,769.06
  4. Step 4: Simplify right side
    9,749.94x = 77,610,760.35
  5. Step 5: Solve for x
    x = 77,610,760.35/9,749.94
  6. Step 6: Final answer
    x = 7,960.13

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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.