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Finding the Fourth Proportional to 9,745.52, 13,406.31 and 8,545.10

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Solution

The fourth proportional to 9,745.52, 13,406.31 and 8,545.10 is: 11,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.52 : 13,406.31 = 8,545.10 : x
  2. Step 2: Convert to fraction form
    9,745.52/13,406.31 = 8,545.10/x
  3. Step 3: Cross multiply
    9,745.52x = 13,406.31 × 8,545.10
  4. Step 4: Simplify right side
    9,745.52x = 114,558,192.55
  5. Step 5: Solve for x
    x = 114,558,192.55/9,745.52
  6. Step 6: Final answer
    x = 11,754.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.