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Finding the Fourth Proportional to 9,533.85, 13,149.43 and 8,352.87

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Solution

The fourth proportional to 9,533.85, 13,149.43 and 8,352.87 is: 11,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.85 : 13,149.43 = 8,352.87 : x
  2. Step 2: Convert to fraction form
    9,533.85/13,149.43 = 8,352.87/x
  3. Step 3: Cross multiply
    9,533.85x = 13,149.43 × 8,352.87
  4. Step 4: Simplify right side
    9,533.85x = 109,835,479.36
  5. Step 5: Solve for x
    x = 109,835,479.36/9,533.85
  6. Step 6: Final answer
    x = 11,520.58

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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.