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Finding the Fourth Proportional to 9,212.95, 13,820.87 and 3,666.34

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Solution

The fourth proportional to 9,212.95, 13,820.87 and 3,666.34 is: 5,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.95 : 13,820.87 = 3,666.34 : x
  2. Step 2: Convert to fraction form
    9,212.95/13,820.87 = 3,666.34/x
  3. Step 3: Cross multiply
    9,212.95x = 13,820.87 × 3,666.34
  4. Step 4: Simplify right side
    9,212.95x = 50,672,008.52
  5. Step 5: Solve for x
    x = 50,672,008.52/9,212.95
  6. Step 6: Final answer
    x = 5,500.09

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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.