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Finding the Fourth Proportional to 9,668.46, 13,342.44 and 5,419.53

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Solution

The fourth proportional to 9,668.46, 13,342.44 and 5,419.53 is: 7,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.46 : 13,342.44 = 5,419.53 : x
  2. Step 2: Convert to fraction form
    9,668.46/13,342.44 = 5,419.53/x
  3. Step 3: Cross multiply
    9,668.46x = 13,342.44 × 5,419.53
  4. Step 4: Simplify right side
    9,668.46x = 72,309,660.04
  5. Step 5: Solve for x
    x = 72,309,660.04/9,668.46
  6. Step 6: Final answer
    x = 7,478.93

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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.