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Finding the Fourth Proportional to 9,200.57, 13,803.15 and 4,273.70

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Solution

The fourth proportional to 9,200.57, 13,803.15 and 4,273.70 is: 6,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.57 : 13,803.15 = 4,273.70 : x
  2. Step 2: Convert to fraction form
    9,200.57/13,803.15 = 4,273.70/x
  3. Step 3: Cross multiply
    9,200.57x = 13,803.15 × 4,273.70
  4. Step 4: Simplify right side
    9,200.57x = 58,990,522.16
  5. Step 5: Solve for x
    x = 58,990,522.16/9,200.57
  6. Step 6: Final answer
    x = 6,411.62

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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.