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Finding the Fourth Proportional to 6,566.64, 9,844.75 and 3,790.17

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Solution

The fourth proportional to 6,566.64, 9,844.75 and 3,790.17 is: 5,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.64 : 9,844.75 = 3,790.17 : x
  2. Step 2: Convert to fraction form
    6,566.64/9,844.75 = 3,790.17/x
  3. Step 3: Cross multiply
    6,566.64x = 9,844.75 × 3,790.17
  4. Step 4: Simplify right side
    6,566.64x = 37,313,296.80
  5. Step 5: Solve for x
    x = 37,313,296.80/6,566.64
  6. Step 6: Final answer
    x = 5,682.25

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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.