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Finding the Fourth Proportional to 9,533.82, 13,149.25 and 5,753.04

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Solution

The fourth proportional to 9,533.82, 13,149.25 and 5,753.04 is: 7,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.82 : 13,149.25 = 5,753.04 : x
  2. Step 2: Convert to fraction form
    9,533.82/13,149.25 = 5,753.04/x
  3. Step 3: Cross multiply
    9,533.82x = 13,149.25 × 5,753.04
  4. Step 4: Simplify right side
    9,533.82x = 75,648,161.22
  5. Step 5: Solve for x
    x = 75,648,161.22/9,533.82
  6. Step 6: Final answer
    x = 7,934.72

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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.