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Finding the Fourth Proportional to 6,323.17, 8,724.22 and 4,085.14

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Solution

The fourth proportional to 6,323.17, 8,724.22 and 4,085.14 is: 5,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.17 : 8,724.22 = 4,085.14 : x
  2. Step 2: Convert to fraction form
    6,323.17/8,724.22 = 4,085.14/x
  3. Step 3: Cross multiply
    6,323.17x = 8,724.22 × 4,085.14
  4. Step 4: Simplify right side
    6,323.17x = 35,639,660.09
  5. Step 5: Solve for x
    x = 35,639,660.09/6,323.17
  6. Step 6: Final answer
    x = 5,636.36

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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.