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Finding the Fourth Proportional to 9,471.89, 14,214.18 and 5,964.32

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Solution

The fourth proportional to 9,471.89, 14,214.18 and 5,964.32 is: 8,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.89 : 14,214.18 = 5,964.32 : x
  2. Step 2: Convert to fraction form
    9,471.89/14,214.18 = 5,964.32/x
  3. Step 3: Cross multiply
    9,471.89x = 14,214.18 × 5,964.32
  4. Step 4: Simplify right side
    9,471.89x = 84,777,896.00
  5. Step 5: Solve for x
    x = 84,777,896.00/9,471.89
  6. Step 6: Final answer
    x = 8,950.48

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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.