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Finding the Fourth Proportional to 6,574.64, 9,073.22 and 3,921.75

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Solution

The fourth proportional to 6,574.64, 9,073.22 and 3,921.75 is: 5,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.64 : 9,073.22 = 3,921.75 : x
  2. Step 2: Convert to fraction form
    6,574.64/9,073.22 = 3,921.75/x
  3. Step 3: Cross multiply
    6,574.64x = 9,073.22 × 3,921.75
  4. Step 4: Simplify right side
    6,574.64x = 35,582,880.93
  5. Step 5: Solve for x
    x = 35,582,880.93/6,574.64
  6. Step 6: Final answer
    x = 5,412.15

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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.