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Finding the Fourth Proportional to 9,745.47, 13,448.97 and 5,767.29

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Solution

The fourth proportional to 9,745.47, 13,448.97 and 5,767.29 is: 7,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.47 : 13,448.97 = 5,767.29 : x
  2. Step 2: Convert to fraction form
    9,745.47/13,448.97 = 5,767.29/x
  3. Step 3: Cross multiply
    9,745.47x = 13,448.97 × 5,767.29
  4. Step 4: Simplify right side
    9,745.47x = 77,564,110.19
  5. Step 5: Solve for x
    x = 77,564,110.19/9,745.47
  6. Step 6: Final answer
    x = 7,958.99

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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.