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Finding the Fourth Proportional to 6,139.90, 9,200.22 and 4,756.60

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Solution

The fourth proportional to 6,139.90, 9,200.22 and 4,756.60 is: 7,127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.90 : 9,200.22 = 4,756.60 : x
  2. Step 2: Convert to fraction form
    6,139.90/9,200.22 = 4,756.60/x
  3. Step 3: Cross multiply
    6,139.90x = 9,200.22 × 4,756.60
  4. Step 4: Simplify right side
    6,139.90x = 43,761,766.45
  5. Step 5: Solve for x
    x = 43,761,766.45/6,139.90
  6. Step 6: Final answer
    x = 7,127.44

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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.