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Finding the Fourth Proportional to 36,910.86, 55,366.50 and 9,208.86

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Solution

The fourth proportional to 36,910.86, 55,366.50 and 9,208.86 is: 13,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,910.86 : 55,366.50 = 9,208.86 : x
  2. Step 2: Convert to fraction form
    36,910.86/55,366.50 = 9,208.86/x
  3. Step 3: Cross multiply
    36,910.86x = 55,366.50 × 9,208.86
  4. Step 4: Simplify right side
    36,910.86x = 509,862,347.19
  5. Step 5: Solve for x
    x = 509,862,347.19/36,910.86
  6. Step 6: Final answer
    x = 13,813.34

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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.