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Finding the Fourth Proportional to 6,816.60, 9,412.20 and 5,496.60

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Solution

The fourth proportional to 6,816.60, 9,412.20 and 5,496.60 is: 7,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.60 : 9,412.20 = 5,496.60 : x
  2. Step 2: Convert to fraction form
    6,816.60/9,412.20 = 5,496.60/x
  3. Step 3: Cross multiply
    6,816.60x = 9,412.20 × 5,496.60
  4. Step 4: Simplify right side
    6,816.60x = 51,735,098.52
  5. Step 5: Solve for x
    x = 51,735,098.52/6,816.60
  6. Step 6: Final answer
    x = 7,589.58

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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.