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Finding the Fourth Proportional to 6,768.16, 9,343.56 and 4,668.64

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Solution

The fourth proportional to 6,768.16, 9,343.56 and 4,668.64 is: 6,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.16 : 9,343.56 = 4,668.64 : x
  2. Step 2: Convert to fraction form
    6,768.16/9,343.56 = 4,668.64/x
  3. Step 3: Cross multiply
    6,768.16x = 9,343.56 × 4,668.64
  4. Step 4: Simplify right side
    6,768.16x = 43,621,717.96
  5. Step 5: Solve for x
    x = 43,621,717.96/6,768.16
  6. Step 6: Final answer
    x = 6,445.14

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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.