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Finding the Fourth Proportional to 9,923.45, 14,884.29 and 3,349.76

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Solution

The fourth proportional to 9,923.45, 14,884.29 and 3,349.76 is: 5,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.45 : 14,884.29 = 3,349.76 : x
  2. Step 2: Convert to fraction form
    9,923.45/14,884.29 = 3,349.76/x
  3. Step 3: Cross multiply
    9,923.45x = 14,884.29 × 3,349.76
  4. Step 4: Simplify right side
    9,923.45x = 49,858,724.85
  5. Step 5: Solve for x
    x = 49,858,724.85/9,923.45
  6. Step 6: Final answer
    x = 5,024.34

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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.