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Finding the Fourth Proportional to 9,533.57, 13,149.09 and 8,352.59

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Solution

The fourth proportional to 9,533.57, 13,149.09 and 8,352.59 is: 11,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.57 : 13,149.09 = 8,352.59 : x
  2. Step 2: Convert to fraction form
    9,533.57/13,149.09 = 8,352.59/x
  3. Step 3: Cross multiply
    9,533.57x = 13,149.09 × 8,352.59
  4. Step 4: Simplify right side
    9,533.57x = 109,828,891.90
  5. Step 5: Solve for x
    x = 109,828,891.90/9,533.57
  6. Step 6: Final answer
    x = 11,520.23

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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.