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Finding the Fourth Proportional to 6,574.16, 9,069.99 and 3,884.81

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Solution

The fourth proportional to 6,574.16, 9,069.99 and 3,884.81 is: 5,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.16 : 9,069.99 = 3,884.81 : x
  2. Step 2: Convert to fraction form
    6,574.16/9,069.99 = 3,884.81/x
  3. Step 3: Cross multiply
    6,574.16x = 9,069.99 × 3,884.81
  4. Step 4: Simplify right side
    6,574.16x = 35,235,200.80
  5. Step 5: Solve for x
    x = 35,235,200.80/6,574.16
  6. Step 6: Final answer
    x = 5,359.65

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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.