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Finding the Fourth Proportional to 6,284.56, 9,436.68 and 4,996.80

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Solution

The fourth proportional to 6,284.56, 9,436.68 and 4,996.80 is: 7,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.56 : 9,436.68 = 4,996.80 : x
  2. Step 2: Convert to fraction form
    6,284.56/9,436.68 = 4,996.80/x
  3. Step 3: Cross multiply
    6,284.56x = 9,436.68 × 4,996.80
  4. Step 4: Simplify right side
    6,284.56x = 47,153,202.62
  5. Step 5: Solve for x
    x = 47,153,202.62/6,284.56
  6. Step 6: Final answer
    x = 7,503.02

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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.