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Finding the Fourth Proportional to 6,811.13, 9,403.68 and 6,101.70

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Solution

The fourth proportional to 6,811.13, 9,403.68 and 6,101.70 is: 8,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.13 : 9,403.68 = 6,101.70 : x
  2. Step 2: Convert to fraction form
    6,811.13/9,403.68 = 6,101.70/x
  3. Step 3: Cross multiply
    6,811.13x = 9,403.68 × 6,101.70
  4. Step 4: Simplify right side
    6,811.13x = 57,378,434.26
  5. Step 5: Solve for x
    x = 57,378,434.26/6,811.13
  6. Step 6: Final answer
    x = 8,424.22

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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.