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Finding the Fourth Proportional to 6,349.12, 9,517.06 and 2,653.48

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Solution

The fourth proportional to 6,349.12, 9,517.06 and 2,653.48 is: 3,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.12 : 9,517.06 = 2,653.48 : x
  2. Step 2: Convert to fraction form
    6,349.12/9,517.06 = 2,653.48/x
  3. Step 3: Cross multiply
    6,349.12x = 9,517.06 × 2,653.48
  4. Step 4: Simplify right side
    6,349.12x = 25,253,328.37
  5. Step 5: Solve for x
    x = 25,253,328.37/6,349.12
  6. Step 6: Final answer
    x = 3,977.45

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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.