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Finding the Fourth Proportional to 6,400.10, 8,832.48 and 3,747.72

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Solution

The fourth proportional to 6,400.10, 8,832.48 and 3,747.72 is: 5,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.10 : 8,832.48 = 3,747.72 : x
  2. Step 2: Convert to fraction form
    6,400.10/8,832.48 = 3,747.72/x
  3. Step 3: Cross multiply
    6,400.10x = 8,832.48 × 3,747.72
  4. Step 4: Simplify right side
    6,400.10x = 33,101,661.95
  5. Step 5: Solve for x
    x = 33,101,661.95/6,400.10
  6. Step 6: Final answer
    x = 5,172.05

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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.