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Finding the Fourth Proportional to 6,884.04, 9,499.68 and 3,740.16

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Solution

The fourth proportional to 6,884.04, 9,499.68 and 3,740.16 is: 5,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.04 : 9,499.68 = 3,740.16 : x
  2. Step 2: Convert to fraction form
    6,884.04/9,499.68 = 3,740.16/x
  3. Step 3: Cross multiply
    6,884.04x = 9,499.68 × 3,740.16
  4. Step 4: Simplify right side
    6,884.04x = 35,530,323.15
  5. Step 5: Solve for x
    x = 35,530,323.15/6,884.04
  6. Step 6: Final answer
    x = 5,161.26

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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.