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Finding the Fourth Proportional to 9,745.57, 13,448.46 and 6,209.92

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Solution

The fourth proportional to 9,745.57, 13,448.46 and 6,209.92 is: 8,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.57 : 13,448.46 = 6,209.92 : x
  2. Step 2: Convert to fraction form
    9,745.57/13,448.46 = 6,209.92/x
  3. Step 3: Cross multiply
    9,745.57x = 13,448.46 × 6,209.92
  4. Step 4: Simplify right side
    9,745.57x = 83,513,860.72
  5. Step 5: Solve for x
    x = 83,513,860.72/9,745.57
  6. Step 6: Final answer
    x = 8,569.42

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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.