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Finding the Fourth Proportional to 9,601.54, 14,408.84 and 5,892.45

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Solution

The fourth proportional to 9,601.54, 14,408.84 and 5,892.45 is: 8,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.54 : 14,408.84 = 5,892.45 : x
  2. Step 2: Convert to fraction form
    9,601.54/14,408.84 = 5,892.45/x
  3. Step 3: Cross multiply
    9,601.54x = 14,408.84 × 5,892.45
  4. Step 4: Simplify right side
    9,601.54x = 84,903,369.26
  5. Step 5: Solve for x
    x = 84,903,369.26/9,601.54
  6. Step 6: Final answer
    x = 8,842.68

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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.