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Finding the Fourth Proportional to 9,668.96, 13,343.16 and 5,477.21

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Solution

The fourth proportional to 9,668.96, 13,343.16 and 5,477.21 is: 7,558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.96 : 13,343.16 = 5,477.21 : x
  2. Step 2: Convert to fraction form
    9,668.96/13,343.16 = 5,477.21/x
  3. Step 3: Cross multiply
    9,668.96x = 13,343.16 × 5,477.21
  4. Step 4: Simplify right side
    9,668.96x = 73,083,222.67
  5. Step 5: Solve for x
    x = 73,083,222.67/9,668.96
  6. Step 6: Final answer
    x = 7,558.54

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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.