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Finding the Fourth Proportional to 6,140.37, 9,210.49 and 3,675.88

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Solution

The fourth proportional to 6,140.37, 9,210.49 and 3,675.88 is: 5,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.37 : 9,210.49 = 3,675.88 : x
  2. Step 2: Convert to fraction form
    6,140.37/9,210.49 = 3,675.88/x
  3. Step 3: Cross multiply
    6,140.37x = 9,210.49 × 3,675.88
  4. Step 4: Simplify right side
    6,140.37x = 33,856,655.98
  5. Step 5: Solve for x
    x = 33,856,655.98/6,140.37
  6. Step 6: Final answer
    x = 5,513.78

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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.