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Finding the Fourth Proportional to 36,869, 55,303.71 and 9,167

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Solution

The fourth proportional to 36,869, 55,303.71 and 9,167 is: 13,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,869 : 55,303.71 = 9,167 : x
  2. Step 2: Convert to fraction form
    36,869/55,303.71 = 9,167/x
  3. Step 3: Cross multiply
    36,869x = 55,303.71 × 9,167
  4. Step 4: Simplify right side
    36,869x = 506,969,109.57
  5. Step 5: Solve for x
    x = 506,969,109.57/36,869
  6. Step 6: Final answer
    x = 13,750.55

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Why These Related Problems?

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