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Finding the Fourth Proportional to 6,139.80, 9,204.30 and 3,675.60

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Solution

The fourth proportional to 6,139.80, 9,204.30 and 3,675.60 is: 5,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.80 : 9,204.30 = 3,675.60 : x
  2. Step 2: Convert to fraction form
    6,139.80/9,204.30 = 3,675.60/x
  3. Step 3: Cross multiply
    6,139.80x = 9,204.30 × 3,675.60
  4. Step 4: Simplify right side
    6,139.80x = 33,831,325.08
  5. Step 5: Solve for x
    x = 33,831,325.08/6,139.80
  6. Step 6: Final answer
    x = 5,510.17

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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.