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Finding the Fourth Proportional to 9,944.56, 14,923.32 and 3,788.56

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Solution

The fourth proportional to 9,944.56, 14,923.32 and 3,788.56 is: 5,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.56 : 14,923.32 = 3,788.56 : x
  2. Step 2: Convert to fraction form
    9,944.56/14,923.32 = 3,788.56/x
  3. Step 3: Cross multiply
    9,944.56x = 14,923.32 × 3,788.56
  4. Step 4: Simplify right side
    9,944.56x = 56,537,893.22
  5. Step 5: Solve for x
    x = 56,537,893.22/9,944.56
  6. Step 6: Final answer
    x = 5,685.31

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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.