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Finding the Fourth Proportional to 9,739.58, 13,441.92 and 5,491.47

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Solution

The fourth proportional to 9,739.58, 13,441.92 and 5,491.47 is: 7,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.58 : 13,441.92 = 5,491.47 : x
  2. Step 2: Convert to fraction form
    9,739.58/13,441.92 = 5,491.47/x
  3. Step 3: Cross multiply
    9,739.58x = 13,441.92 × 5,491.47
  4. Step 4: Simplify right side
    9,739.58x = 73,815,900.42
  5. Step 5: Solve for x
    x = 73,815,900.42/9,739.58
  6. Step 6: Final answer
    x = 7,578.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.