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Finding the Fourth Proportional to 6,130.40, 9,189.20 and 3,352.80

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Solution

The fourth proportional to 6,130.40, 9,189.20 and 3,352.80 is: 5,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.40 : 9,189.20 = 3,352.80 : x
  2. Step 2: Convert to fraction form
    6,130.40/9,189.20 = 3,352.80/x
  3. Step 3: Cross multiply
    6,130.40x = 9,189.20 × 3,352.80
  4. Step 4: Simplify right side
    6,130.40x = 30,809,549.76
  5. Step 5: Solve for x
    x = 30,809,549.76/6,130.40
  6. Step 6: Final answer
    x = 5,025.70

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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.