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Finding the Fourth Proportional to 6,668.93, 9,202.68 and 3,684.74

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Solution

The fourth proportional to 6,668.93, 9,202.68 and 3,684.74 is: 5,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.93 : 9,202.68 = 3,684.74 : x
  2. Step 2: Convert to fraction form
    6,668.93/9,202.68 = 3,684.74/x
  3. Step 3: Cross multiply
    6,668.93x = 9,202.68 × 3,684.74
  4. Step 4: Simplify right side
    6,668.93x = 33,909,437.09
  5. Step 5: Solve for x
    x = 33,909,437.09/6,668.93
  6. Step 6: Final answer
    x = 5,084.69

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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.