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Finding the Fourth Proportional to 6,354.06, 9,527.40 and 2,453.91

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Solution

The fourth proportional to 6,354.06, 9,527.40 and 2,453.91 is: 3,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.06 : 9,527.40 = 2,453.91 : x
  2. Step 2: Convert to fraction form
    6,354.06/9,527.40 = 2,453.91/x
  3. Step 3: Cross multiply
    6,354.06x = 9,527.40 × 2,453.91
  4. Step 4: Simplify right side
    6,354.06x = 23,379,382.13
  5. Step 5: Solve for x
    x = 23,379,382.13/6,354.06
  6. Step 6: Final answer
    x = 3,679.44

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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.