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Finding the Fourth Proportional to 6,537.60, 9,789.52 and 4,339.44

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Solution

The fourth proportional to 6,537.60, 9,789.52 and 4,339.44 is: 6,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.60 : 9,789.52 = 4,339.44 : x
  2. Step 2: Convert to fraction form
    6,537.60/9,789.52 = 4,339.44/x
  3. Step 3: Cross multiply
    6,537.60x = 9,789.52 × 4,339.44
  4. Step 4: Simplify right side
    6,537.60x = 42,481,034.67
  5. Step 5: Solve for x
    x = 42,481,034.67/6,537.60
  6. Step 6: Final answer
    x = 6,497.96

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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.