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Finding the Fourth Proportional to 6,345.12, 9,517.20 and 1,728.48

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Solution

The fourth proportional to 6,345.12, 9,517.20 and 1,728.48 is: 2,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.12 : 9,517.20 = 1,728.48 : x
  2. Step 2: Convert to fraction form
    6,345.12/9,517.20 = 1,728.48/x
  3. Step 3: Cross multiply
    6,345.12x = 9,517.20 × 1,728.48
  4. Step 4: Simplify right side
    6,345.12x = 16,450,289.86
  5. Step 5: Solve for x
    x = 16,450,289.86/6,345.12
  6. Step 6: Final answer
    x = 2,592.59

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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.