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Finding the Fourth Proportional to 6,141.65, 9,213.30 and 2,444.27

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Solution

The fourth proportional to 6,141.65, 9,213.30 and 2,444.27 is: 3,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.65 : 9,213.30 = 2,444.27 : x
  2. Step 2: Convert to fraction form
    6,141.65/9,213.30 = 2,444.27/x
  3. Step 3: Cross multiply
    6,141.65x = 9,213.30 × 2,444.27
  4. Step 4: Simplify right side
    6,141.65x = 22,519,746.72
  5. Step 5: Solve for x
    x = 22,519,746.72/6,141.65
  6. Step 6: Final answer
    x = 3,666.73

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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.