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Finding the Fourth Proportional to 6,443.59, 9,665.29 and 1,826.59

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Solution

The fourth proportional to 6,443.59, 9,665.29 and 1,826.59 is: 2,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.59 : 9,665.29 = 1,826.59 : x
  2. Step 2: Convert to fraction form
    6,443.59/9,665.29 = 1,826.59/x
  3. Step 3: Cross multiply
    6,443.59x = 9,665.29 × 1,826.59
  4. Step 4: Simplify right side
    6,443.59x = 17,654,522.06
  5. Step 5: Solve for x
    x = 17,654,522.06/6,443.59
  6. Step 6: Final answer
    x = 2,739.86

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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.