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Finding the Fourth Proportional to 6,844.68, 10,213.26 and 6,426.72

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Solution

The fourth proportional to 6,844.68, 10,213.26 and 6,426.72 is: 9,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.68 : 10,213.26 = 6,426.72 : x
  2. Step 2: Convert to fraction form
    6,844.68/10,213.26 = 6,426.72/x
  3. Step 3: Cross multiply
    6,844.68x = 10,213.26 × 6,426.72
  4. Step 4: Simplify right side
    6,844.68x = 65,637,762.31
  5. Step 5: Solve for x
    x = 65,637,762.31/6,844.68
  6. Step 6: Final answer
    x = 9,589.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.