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Finding the Fourth Proportional to 9,139.31, 13,709.04 and 2,213.81

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Solution

The fourth proportional to 9,139.31, 13,709.04 and 2,213.81 is: 3,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.31 : 13,709.04 = 2,213.81 : x
  2. Step 2: Convert to fraction form
    9,139.31/13,709.04 = 2,213.81/x
  3. Step 3: Cross multiply
    9,139.31x = 13,709.04 × 2,213.81
  4. Step 4: Simplify right side
    9,139.31x = 30,349,244.12
  5. Step 5: Solve for x
    x = 30,349,244.12/9,139.31
  6. Step 6: Final answer
    x = 3,320.74

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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.