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Finding the Fourth Proportional to 9,494.80, 14,243.68 and 4,563.52

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Solution

The fourth proportional to 9,494.80, 14,243.68 and 4,563.52 is: 6,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.80 : 14,243.68 = 4,563.52 : x
  2. Step 2: Convert to fraction form
    9,494.80/14,243.68 = 4,563.52/x
  3. Step 3: Cross multiply
    9,494.80x = 14,243.68 × 4,563.52
  4. Step 4: Simplify right side
    9,494.80x = 65,001,318.55
  5. Step 5: Solve for x
    x = 65,001,318.55/9,494.80
  6. Step 6: Final answer
    x = 6,845.99

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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.