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Finding the Fourth Proportional to 6,277.66, 9,412.84 and 2,379.94

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Solution

The fourth proportional to 6,277.66, 9,412.84 and 2,379.94 is: 3,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.66 : 9,412.84 = 2,379.94 : x
  2. Step 2: Convert to fraction form
    6,277.66/9,412.84 = 2,379.94/x
  3. Step 3: Cross multiply
    6,277.66x = 9,412.84 × 2,379.94
  4. Step 4: Simplify right side
    6,277.66x = 22,401,973.87
  5. Step 5: Solve for x
    x = 22,401,973.87/6,277.66
  6. Step 6: Final answer
    x = 3,568.52

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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.