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Finding the Fourth Proportional to 6,612.87, 9,914.12 and 3,442.65

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Solution

The fourth proportional to 6,612.87, 9,914.12 and 3,442.65 is: 5,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612.87 : 9,914.12 = 3,442.65 : x
  2. Step 2: Convert to fraction form
    6,612.87/9,914.12 = 3,442.65/x
  3. Step 3: Cross multiply
    6,612.87x = 9,914.12 × 3,442.65
  4. Step 4: Simplify right side
    6,612.87x = 34,130,845.22
  5. Step 5: Solve for x
    x = 34,130,845.22/6,612.87
  6. Step 6: Final answer
    x = 5,161.28

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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.