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Finding the Fourth Proportional to 7,161.92, 9,893.60 and 6,816.32

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Solution

The fourth proportional to 7,161.92, 9,893.60 and 6,816.32 is: 9,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.92 : 9,893.60 = 6,816.32 : x
  2. Step 2: Convert to fraction form
    7,161.92/9,893.60 = 6,816.32/x
  3. Step 3: Cross multiply
    7,161.92x = 9,893.60 × 6,816.32
  4. Step 4: Simplify right side
    7,161.92x = 67,437,943.55
  5. Step 5: Solve for x
    x = 67,437,943.55/7,161.92
  6. Step 6: Final answer
    x = 9,416.18

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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.