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Finding the Fourth Proportional to 6,195.60, 9,293.40 and 5,466.60

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Solution

The fourth proportional to 6,195.60, 9,293.40 and 5,466.60 is: 8,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.60 : 9,293.40 = 5,466.60 : x
  2. Step 2: Convert to fraction form
    6,195.60/9,293.40 = 5,466.60/x
  3. Step 3: Cross multiply
    6,195.60x = 9,293.40 × 5,466.60
  4. Step 4: Simplify right side
    6,195.60x = 50,803,300.44
  5. Step 5: Solve for x
    x = 50,803,300.44/6,195.60
  6. Step 6: Final answer
    x = 8,199.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.