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Finding the Fourth Proportional to 9,674.83, 14,526.83 and 5,519.53

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Solution

The fourth proportional to 9,674.83, 14,526.83 and 5,519.53 is: 8,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.83 : 14,526.83 = 5,519.53 : x
  2. Step 2: Convert to fraction form
    9,674.83/14,526.83 = 5,519.53/x
  3. Step 3: Cross multiply
    9,674.83x = 14,526.83 × 5,519.53
  4. Step 4: Simplify right side
    9,674.83x = 80,181,273.99
  5. Step 5: Solve for x
    x = 80,181,273.99/9,674.83
  6. Step 6: Final answer
    x = 8,287.62

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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.