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Finding the Fourth Proportional to 6,373.74, 9,540.36 and 4,612.80

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Solution

The fourth proportional to 6,373.74, 9,540.36 and 4,612.80 is: 6,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.74 : 9,540.36 = 4,612.80 : x
  2. Step 2: Convert to fraction form
    6,373.74/9,540.36 = 4,612.80/x
  3. Step 3: Cross multiply
    6,373.74x = 9,540.36 × 4,612.80
  4. Step 4: Simplify right side
    6,373.74x = 44,007,772.61
  5. Step 5: Solve for x
    x = 44,007,772.61/6,373.74
  6. Step 6: Final answer
    x = 6,904.54

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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.