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Finding the Fourth Proportional to 9,668.96, 13,343.16 and 5,420.06

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Solution

The fourth proportional to 9,668.96, 13,343.16 and 5,420.06 is: 7,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.96 : 13,343.16 = 5,420.06 : x
  2. Step 2: Convert to fraction form
    9,668.96/13,343.16 = 5,420.06/x
  3. Step 3: Cross multiply
    9,668.96x = 13,343.16 × 5,420.06
  4. Step 4: Simplify right side
    9,668.96x = 72,320,727.79
  5. Step 5: Solve for x
    x = 72,320,727.79/9,668.96
  6. Step 6: Final answer
    x = 7,479.68

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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.