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Finding the Fourth Proportional to 9,164.21, 13,743.74 and 4,481.69

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Solution

The fourth proportional to 9,164.21, 13,743.74 and 4,481.69 is: 6,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.21 : 13,743.74 = 4,481.69 : x
  2. Step 2: Convert to fraction form
    9,164.21/13,743.74 = 4,481.69/x
  3. Step 3: Cross multiply
    9,164.21x = 13,743.74 × 4,481.69
  4. Step 4: Simplify right side
    9,164.21x = 61,595,159.71
  5. Step 5: Solve for x
    x = 61,595,159.71/9,164.21
  6. Step 6: Final answer
    x = 6,721.27

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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.