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Finding the Fourth Proportional to 6,270.48, 9,392.24 and 5,902.50

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Solution

The fourth proportional to 6,270.48, 9,392.24 and 5,902.50 is: 8,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.48 : 9,392.24 = 5,902.50 : x
  2. Step 2: Convert to fraction form
    6,270.48/9,392.24 = 5,902.50/x
  3. Step 3: Cross multiply
    6,270.48x = 9,392.24 × 5,902.50
  4. Step 4: Simplify right side
    6,270.48x = 55,437,696.60
  5. Step 5: Solve for x
    x = 55,437,696.60/6,270.48
  6. Step 6: Final answer
    x = 8,841.06

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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.