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Finding the Fourth Proportional to 6,811.48, 9,400.96 and 5,675.35

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Solution

The fourth proportional to 6,811.48, 9,400.96 and 5,675.35 is: 7,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.48 : 9,400.96 = 5,675.35 : x
  2. Step 2: Convert to fraction form
    6,811.48/9,400.96 = 5,675.35/x
  3. Step 3: Cross multiply
    6,811.48x = 9,400.96 × 5,675.35
  4. Step 4: Simplify right side
    6,811.48x = 53,353,738.34
  5. Step 5: Solve for x
    x = 53,353,738.34/6,811.48
  6. Step 6: Final answer
    x = 7,832.91

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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.