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Finding the Fourth Proportional to 6,811.24, 9,400.20 and 4,160.20

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Solution

The fourth proportional to 6,811.24, 9,400.20 and 4,160.20 is: 5,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.24 : 9,400.20 = 4,160.20 : x
  2. Step 2: Convert to fraction form
    6,811.24/9,400.20 = 4,160.20/x
  3. Step 3: Cross multiply
    6,811.24x = 9,400.20 × 4,160.20
  4. Step 4: Simplify right side
    6,811.24x = 39,106,712.04
  5. Step 5: Solve for x
    x = 39,106,712.04/6,811.24
  6. Step 6: Final answer
    x = 5,741.50

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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.