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Finding the Fourth Proportional to 6,833.41, 9,430.06 and 3,850.20

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Solution

The fourth proportional to 6,833.41, 9,430.06 and 3,850.20 is: 5,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.41 : 9,430.06 = 3,850.20 : x
  2. Step 2: Convert to fraction form
    6,833.41/9,430.06 = 3,850.20/x
  3. Step 3: Cross multiply
    6,833.41x = 9,430.06 × 3,850.20
  4. Step 4: Simplify right side
    6,833.41x = 36,307,597.76
  5. Step 5: Solve for x
    x = 36,307,597.76/6,833.41
  6. Step 6: Final answer
    x = 5,313.25

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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.