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Finding the Fourth Proportional to 6,549.12, 9,813.44 and 4,112

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Solution

The fourth proportional to 6,549.12, 9,813.44 and 4,112 is: 6,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.12 : 9,813.44 = 4,112 : x
  2. Step 2: Convert to fraction form
    6,549.12/9,813.44 = 4,112/x
  3. Step 3: Cross multiply
    6,549.12x = 9,813.44 × 4,112
  4. Step 4: Simplify right side
    6,549.12x = 40,352,865.28
  5. Step 5: Solve for x
    x = 40,352,865.28/6,549.12
  6. Step 6: Final answer
    x = 6,161.57

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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.