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Finding the Fourth Proportional to 9,673.42, 13,349.58 and 5,481.64

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Solution

The fourth proportional to 9,673.42, 13,349.58 and 5,481.64 is: 7,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.42 : 13,349.58 = 5,481.64 : x
  2. Step 2: Convert to fraction form
    9,673.42/13,349.58 = 5,481.64/x
  3. Step 3: Cross multiply
    9,673.42x = 13,349.58 × 5,481.64
  4. Step 4: Simplify right side
    9,673.42x = 73,177,591.71
  5. Step 5: Solve for x
    x = 73,177,591.71/9,673.42
  6. Step 6: Final answer
    x = 7,564.81

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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.