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Finding the Fourth Proportional to 9,600.17, 14,391 and 4,922.37

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Solution

The fourth proportional to 9,600.17, 14,391 and 4,922.37 is: 7,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.17 : 14,391 = 4,922.37 : x
  2. Step 2: Convert to fraction form
    9,600.17/14,391 = 4,922.37/x
  3. Step 3: Cross multiply
    9,600.17x = 14,391 × 4,922.37
  4. Step 4: Simplify right side
    9,600.17x = 70,837,826.67
  5. Step 5: Solve for x
    x = 70,837,826.67/9,600.17
  6. Step 6: Final answer
    x = 7,378.81

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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.