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Finding the Fourth Proportional to 6,334.95, 9,499.69 and 2,436.63

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Solution

The fourth proportional to 6,334.95, 9,499.69 and 2,436.63 is: 3,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.95 : 9,499.69 = 2,436.63 : x
  2. Step 2: Convert to fraction form
    6,334.95/9,499.69 = 2,436.63/x
  3. Step 3: Cross multiply
    6,334.95x = 9,499.69 × 2,436.63
  4. Step 4: Simplify right side
    6,334.95x = 23,147,229.64
  5. Step 5: Solve for x
    x = 23,147,229.64/6,334.95
  6. Step 6: Final answer
    x = 3,653.89

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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.