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Finding the Fourth Proportional to 6,236.09, 8,642.21 and 6,117.81

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Solution

The fourth proportional to 6,236.09, 8,642.21 and 6,117.81 is: 8,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.09 : 8,642.21 = 6,117.81 : x
  2. Step 2: Convert to fraction form
    6,236.09/8,642.21 = 6,117.81/x
  3. Step 3: Cross multiply
    6,236.09x = 8,642.21 × 6,117.81
  4. Step 4: Simplify right side
    6,236.09x = 52,871,368.17
  5. Step 5: Solve for x
    x = 52,871,368.17/6,236.09
  6. Step 6: Final answer
    x = 8,478.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.