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Finding the Fourth Proportional to 6,504.78, 9,749.34 and 3,733.32

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Solution

The fourth proportional to 6,504.78, 9,749.34 and 3,733.32 is: 5,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.78 : 9,749.34 = 3,733.32 : x
  2. Step 2: Convert to fraction form
    6,504.78/9,749.34 = 3,733.32/x
  3. Step 3: Cross multiply
    6,504.78x = 9,749.34 × 3,733.32
  4. Step 4: Simplify right side
    6,504.78x = 36,397,406.01
  5. Step 5: Solve for x
    x = 36,397,406.01/6,504.78
  6. Step 6: Final answer
    x = 5,595.49

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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.