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Finding the Fourth Proportional to 6,837.20, 9,435.20 and 3,852.98

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Solution

The fourth proportional to 6,837.20, 9,435.20 and 3,852.98 is: 5,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.20 : 9,435.20 = 3,852.98 : x
  2. Step 2: Convert to fraction form
    6,837.20/9,435.20 = 3,852.98/x
  3. Step 3: Cross multiply
    6,837.20x = 9,435.20 × 3,852.98
  4. Step 4: Simplify right side
    6,837.20x = 36,353,599.35
  5. Step 5: Solve for x
    x = 36,353,599.35/6,837.20
  6. Step 6: Final answer
    x = 5,317.03

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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.