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Finding the Fourth Proportional to 9,668.28, 13,343.33 and 5,420.49

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Solution

The fourth proportional to 9,668.28, 13,343.33 and 5,420.49 is: 7,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.28 : 13,343.33 = 5,420.49 : x
  2. Step 2: Convert to fraction form
    9,668.28/13,343.33 = 5,420.49/x
  3. Step 3: Cross multiply
    9,668.28x = 13,343.33 × 5,420.49
  4. Step 4: Simplify right side
    9,668.28x = 72,327,386.83
  5. Step 5: Solve for x
    x = 72,327,386.83/9,668.28
  6. Step 6: Final answer
    x = 7,480.89

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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.