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Finding the Fourth Proportional to 6,226.32, 9,339.51 and 1,843.86

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Solution

The fourth proportional to 6,226.32, 9,339.51 and 1,843.86 is: 2,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.32 : 9,339.51 = 1,843.86 : x
  2. Step 2: Convert to fraction form
    6,226.32/9,339.51 = 1,843.86/x
  3. Step 3: Cross multiply
    6,226.32x = 9,339.51 × 1,843.86
  4. Step 4: Simplify right side
    6,226.32x = 17,220,748.91
  5. Step 5: Solve for x
    x = 17,220,748.91/6,226.32
  6. Step 6: Final answer
    x = 2,765.80

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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.