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Finding the Fourth Proportional to 9,596.89, 14,362.82 and 5,901.46

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Solution

The fourth proportional to 9,596.89, 14,362.82 and 5,901.46 is: 8,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.89 : 14,362.82 = 5,901.46 : x
  2. Step 2: Convert to fraction form
    9,596.89/14,362.82 = 5,901.46/x
  3. Step 3: Cross multiply
    9,596.89x = 14,362.82 × 5,901.46
  4. Step 4: Simplify right side
    9,596.89x = 84,761,557.06
  5. Step 5: Solve for x
    x = 84,761,557.06/9,596.89
  6. Step 6: Final answer
    x = 8,832.19

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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.