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Finding the Fourth Proportional to 6,824.04, 9,415.92 and 4,172.16

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Solution

The fourth proportional to 6,824.04, 9,415.92 and 4,172.16 is: 5,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.04 : 9,415.92 = 4,172.16 : x
  2. Step 2: Convert to fraction form
    6,824.04/9,415.92 = 4,172.16/x
  3. Step 3: Cross multiply
    6,824.04x = 9,415.92 × 4,172.16
  4. Step 4: Simplify right side
    6,824.04x = 39,284,724.79
  5. Step 5: Solve for x
    x = 39,284,724.79/6,824.04
  6. Step 6: Final answer
    x = 5,756.81

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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.