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Finding the Fourth Proportional to 9,944.12, 14,898.62 and 5,253.77

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Solution

The fourth proportional to 9,944.12, 14,898.62 and 5,253.77 is: 7,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.12 : 14,898.62 = 5,253.77 : x
  2. Step 2: Convert to fraction form
    9,944.12/14,898.62 = 5,253.77/x
  3. Step 3: Cross multiply
    9,944.12x = 14,898.62 × 5,253.77
  4. Step 4: Simplify right side
    9,944.12x = 78,273,922.80
  5. Step 5: Solve for x
    x = 78,273,922.80/9,944.12
  6. Step 6: Final answer
    x = 7,871.38

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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.