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Finding the Fourth Proportional to 9,523.24, 14,285.18 and 8,441.08

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Solution

The fourth proportional to 9,523.24, 14,285.18 and 8,441.08 is: 12,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.24 : 14,285.18 = 8,441.08 : x
  2. Step 2: Convert to fraction form
    9,523.24/14,285.18 = 8,441.08/x
  3. Step 3: Cross multiply
    9,523.24x = 14,285.18 × 8,441.08
  4. Step 4: Simplify right side
    9,523.24x = 120,582,347.19
  5. Step 5: Solve for x
    x = 120,582,347.19/9,523.24
  6. Step 6: Final answer
    x = 12,661.90

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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.