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Finding the Fourth Proportional to 6,278.04, 9,411.24 and 2,379.84

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Solution

The fourth proportional to 6,278.04, 9,411.24 and 2,379.84 is: 3,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.04 : 9,411.24 = 2,379.84 : x
  2. Step 2: Convert to fraction form
    6,278.04/9,411.24 = 2,379.84/x
  3. Step 3: Cross multiply
    6,278.04x = 9,411.24 × 2,379.84
  4. Step 4: Simplify right side
    6,278.04x = 22,397,245.40
  5. Step 5: Solve for x
    x = 22,397,245.40/6,278.04
  6. Step 6: Final answer
    x = 3,567.55

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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.