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Finding the Fourth Proportional to 6,717.90, 9,261.62 and 5,668.14

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Solution

The fourth proportional to 6,717.90, 9,261.62 and 5,668.14 is: 7,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.90 : 9,261.62 = 5,668.14 : x
  2. Step 2: Convert to fraction form
    6,717.90/9,261.62 = 5,668.14/x
  3. Step 3: Cross multiply
    6,717.90x = 9,261.62 × 5,668.14
  4. Step 4: Simplify right side
    6,717.90x = 52,496,158.79
  5. Step 5: Solve for x
    x = 52,496,158.79/6,717.90
  6. Step 6: Final answer
    x = 7,814.37

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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.