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Finding the Fourth Proportional to 6,566.40, 9,833.94 and 3,787.26

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Solution

The fourth proportional to 6,566.40, 9,833.94 and 3,787.26 is: 5,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.40 : 9,833.94 = 3,787.26 : x
  2. Step 2: Convert to fraction form
    6,566.40/9,833.94 = 3,787.26/x
  3. Step 3: Cross multiply
    6,566.40x = 9,833.94 × 3,787.26
  4. Step 4: Simplify right side
    6,566.40x = 37,243,687.60
  5. Step 5: Solve for x
    x = 37,243,687.60/6,566.40
  6. Step 6: Final answer
    x = 5,671.86

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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.