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Finding the Fourth Proportional to 9,571.58, 13,209.60 and 5,323.44

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Solution

The fourth proportional to 9,571.58, 13,209.60 and 5,323.44 is: 7,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.58 : 13,209.60 = 5,323.44 : x
  2. Step 2: Convert to fraction form
    9,571.58/13,209.60 = 5,323.44/x
  3. Step 3: Cross multiply
    9,571.58x = 13,209.60 × 5,323.44
  4. Step 4: Simplify right side
    9,571.58x = 70,320,513.02
  5. Step 5: Solve for x
    x = 70,320,513.02/9,571.58
  6. Step 6: Final answer
    x = 7,346.81

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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.