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Finding the Fourth Proportional to 9,523.87, 14,287.44 and 3,284.53

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Solution

The fourth proportional to 9,523.87, 14,287.44 and 3,284.53 is: 4,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.87 : 14,287.44 = 3,284.53 : x
  2. Step 2: Convert to fraction form
    9,523.87/14,287.44 = 3,284.53/x
  3. Step 3: Cross multiply
    9,523.87x = 14,287.44 × 3,284.53
  4. Step 4: Simplify right side
    9,523.87x = 46,927,525.30
  5. Step 5: Solve for x
    x = 46,927,525.30/9,523.87
  6. Step 6: Final answer
    x = 4,927.36

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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.