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Finding the Fourth Proportional to 36,865.57, 55,298.34 and 9,163.57

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Solution

The fourth proportional to 36,865.57, 55,298.34 and 9,163.57 is: 13,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,865.57 : 55,298.34 = 9,163.57 : x
  2. Step 2: Convert to fraction form
    36,865.57/55,298.34 = 9,163.57/x
  3. Step 3: Cross multiply
    36,865.57x = 55,298.34 × 9,163.57
  4. Step 4: Simplify right side
    36,865.57x = 506,730,209.47
  5. Step 5: Solve for x
    x = 506,730,209.47/36,865.57
  6. Step 6: Final answer
    x = 13,745.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.