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Finding the Fourth Proportional to 6,124.92, 9,188.78 and 4,880.20

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Solution

The fourth proportional to 6,124.92, 9,188.78 and 4,880.20 is: 7,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.92 : 9,188.78 = 4,880.20 : x
  2. Step 2: Convert to fraction form
    6,124.92/9,188.78 = 4,880.20/x
  3. Step 3: Cross multiply
    6,124.92x = 9,188.78 × 4,880.20
  4. Step 4: Simplify right side
    6,124.92x = 44,843,084.16
  5. Step 5: Solve for x
    x = 44,843,084.16/6,124.92
  6. Step 6: Final answer
    x = 7,321.42

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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.