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Finding the Fourth Proportional to 6,278.14, 9,417.27 and 1,661.14

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Solution

The fourth proportional to 6,278.14, 9,417.27 and 1,661.14 is: 2,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.14 : 9,417.27 = 1,661.14 : x
  2. Step 2: Convert to fraction form
    6,278.14/9,417.27 = 1,661.14/x
  3. Step 3: Cross multiply
    6,278.14x = 9,417.27 × 1,661.14
  4. Step 4: Simplify right side
    6,278.14x = 15,643,403.89
  5. Step 5: Solve for x
    x = 15,643,403.89/6,278.14
  6. Step 6: Final answer
    x = 2,491.73

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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.