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Finding the Fourth Proportional to 6,137.67, 9,203.80 and 1,754.13

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Solution

The fourth proportional to 6,137.67, 9,203.80 and 1,754.13 is: 2,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.67 : 9,203.80 = 1,754.13 : x
  2. Step 2: Convert to fraction form
    6,137.67/9,203.80 = 1,754.13/x
  3. Step 3: Cross multiply
    6,137.67x = 9,203.80 × 1,754.13
  4. Step 4: Simplify right side
    6,137.67x = 16,144,661.69
  5. Step 5: Solve for x
    x = 16,144,661.69/6,137.67
  6. Step 6: Final answer
    x = 2,630.42

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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.