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Finding the Fourth Proportional to 6,135.80, 9,204.21 and 2,185.53

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Solution

The fourth proportional to 6,135.80, 9,204.21 and 2,185.53 is: 3,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.80 : 9,204.21 = 2,185.53 : x
  2. Step 2: Convert to fraction form
    6,135.80/9,204.21 = 2,185.53/x
  3. Step 3: Cross multiply
    6,135.80x = 9,204.21 × 2,185.53
  4. Step 4: Simplify right side
    6,135.80x = 20,116,088.19
  5. Step 5: Solve for x
    x = 20,116,088.19/6,135.80
  6. Step 6: Final answer
    x = 3,278.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.