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Finding the Fourth Proportional to 6,668.66, 9,203.47 and 3,836.16

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Solution

The fourth proportional to 6,668.66, 9,203.47 and 3,836.16 is: 5,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.66 : 9,203.47 = 3,836.16 : x
  2. Step 2: Convert to fraction form
    6,668.66/9,203.47 = 3,836.16/x
  3. Step 3: Cross multiply
    6,668.66x = 9,203.47 × 3,836.16
  4. Step 4: Simplify right side
    6,668.66x = 35,305,973.88
  5. Step 5: Solve for x
    x = 35,305,973.88/6,668.66
  6. Step 6: Final answer
    x = 5,294.31

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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.