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Finding the Fourth Proportional to 6,114.84, 9,178.32 and 2,828.66

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Solution

The fourth proportional to 6,114.84, 9,178.32 and 2,828.66 is: 4,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.84 : 9,178.32 = 2,828.66 : x
  2. Step 2: Convert to fraction form
    6,114.84/9,178.32 = 2,828.66/x
  3. Step 3: Cross multiply
    6,114.84x = 9,178.32 × 2,828.66
  4. Step 4: Simplify right side
    6,114.84x = 25,962,346.65
  5. Step 5: Solve for x
    x = 25,962,346.65/6,114.84
  6. Step 6: Final answer
    x = 4,245.79

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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.