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Finding the Fourth Proportional to 6,130.70, 9,189.30 and 2,431.70

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Solution

The fourth proportional to 6,130.70, 9,189.30 and 2,431.70 is: 3,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.70 : 9,189.30 = 2,431.70 : x
  2. Step 2: Convert to fraction form
    6,130.70/9,189.30 = 2,431.70/x
  3. Step 3: Cross multiply
    6,130.70x = 9,189.30 × 2,431.70
  4. Step 4: Simplify right side
    6,130.70x = 22,345,620.81
  5. Step 5: Solve for x
    x = 22,345,620.81/6,130.70
  6. Step 6: Final answer
    x = 3,644.87

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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.