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Finding the Fourth Proportional to 6,440.66, 9,661.62 and 2,057.06

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Solution

The fourth proportional to 6,440.66, 9,661.62 and 2,057.06 is: 3,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.66 : 9,661.62 = 2,057.06 : x
  2. Step 2: Convert to fraction form
    6,440.66/9,661.62 = 2,057.06/x
  3. Step 3: Cross multiply
    6,440.66x = 9,661.62 × 2,057.06
  4. Step 4: Simplify right side
    6,440.66x = 19,874,532.04
  5. Step 5: Solve for x
    x = 19,874,532.04/6,440.66
  6. Step 6: Final answer
    x = 3,085.79

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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.