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Finding the Fourth Proportional to 6,613.69, 9,127.06 and 3,742.19

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Solution

The fourth proportional to 6,613.69, 9,127.06 and 3,742.19 is: 5,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.69 : 9,127.06 = 3,742.19 : x
  2. Step 2: Convert to fraction form
    6,613.69/9,127.06 = 3,742.19/x
  3. Step 3: Cross multiply
    6,613.69x = 9,127.06 × 3,742.19
  4. Step 4: Simplify right side
    6,613.69x = 34,155,147.03
  5. Step 5: Solve for x
    x = 34,155,147.03/6,613.69
  6. Step 6: Final answer
    x = 5,164.31

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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.