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Finding the Fourth Proportional to 9,668.21, 13,342.09 and 5,419.28

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Solution

The fourth proportional to 9,668.21, 13,342.09 and 5,419.28 is: 7,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.21 : 13,342.09 = 5,419.28 : x
  2. Step 2: Convert to fraction form
    9,668.21/13,342.09 = 5,419.28/x
  3. Step 3: Cross multiply
    9,668.21x = 13,342.09 × 5,419.28
  4. Step 4: Simplify right side
    9,668.21x = 72,304,461.56
  5. Step 5: Solve for x
    x = 72,304,461.56/9,668.21
  6. Step 6: Final answer
    x = 7,478.58

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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.