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Finding the Fourth Proportional to 6,137.14, 9,207.18 and 1,977.54

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Solution

The fourth proportional to 6,137.14, 9,207.18 and 1,977.54 is: 2,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.14 : 9,207.18 = 1,977.54 : x
  2. Step 2: Convert to fraction form
    6,137.14/9,207.18 = 1,977.54/x
  3. Step 3: Cross multiply
    6,137.14x = 9,207.18 × 1,977.54
  4. Step 4: Simplify right side
    6,137.14x = 18,207,566.74
  5. Step 5: Solve for x
    x = 18,207,566.74/6,137.14
  6. Step 6: Final answer
    x = 2,966.78

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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.