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Finding the Fourth Proportional to 6,566.37, 9,061.37 and 3,733.59

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Solution

The fourth proportional to 6,566.37, 9,061.37 and 3,733.59 is: 5,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.37 : 9,061.37 = 3,733.59 : x
  2. Step 2: Convert to fraction form
    6,566.37/9,061.37 = 3,733.59/x
  3. Step 3: Cross multiply
    6,566.37x = 9,061.37 × 3,733.59
  4. Step 4: Simplify right side
    6,566.37x = 33,831,469.73
  5. Step 5: Solve for x
    x = 33,831,469.73/6,566.37
  6. Step 6: Final answer
    x = 5,152.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.