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Finding the Fourth Proportional to 9,533.97, 13,149 and 6,545.07

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Solution

The fourth proportional to 9,533.97, 13,149 and 6,545.07 is: 9,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.97 : 13,149 = 6,545.07 : x
  2. Step 2: Convert to fraction form
    9,533.97/13,149 = 6,545.07/x
  3. Step 3: Cross multiply
    9,533.97x = 13,149 × 6,545.07
  4. Step 4: Simplify right side
    9,533.97x = 86,061,125.43
  5. Step 5: Solve for x
    x = 86,061,125.43/9,533.97
  6. Step 6: Final answer
    x = 9,026.79

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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.