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Finding the Fourth Proportional to 36,908.76, 55,363.14 and 9,206.76

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Solution

The fourth proportional to 36,908.76, 55,363.14 and 9,206.76 is: 13,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,908.76 : 55,363.14 = 9,206.76 : x
  2. Step 2: Convert to fraction form
    36,908.76/55,363.14 = 9,206.76/x
  3. Step 3: Cross multiply
    36,908.76x = 55,363.14 × 9,206.76
  4. Step 4: Simplify right side
    36,908.76x = 509,715,142.83
  5. Step 5: Solve for x
    x = 509,715,142.83/36,908.76
  6. Step 6: Final answer
    x = 13,810.14

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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.