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Finding the Fourth Proportional to 9,738.44, 14,607.78 and 2,813

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Solution

The fourth proportional to 9,738.44, 14,607.78 and 2,813 is: 4,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.44 : 14,607.78 = 2,813 : x
  2. Step 2: Convert to fraction form
    9,738.44/14,607.78 = 2,813/x
  3. Step 3: Cross multiply
    9,738.44x = 14,607.78 × 2,813
  4. Step 4: Simplify right side
    9,738.44x = 41,091,685.14
  5. Step 5: Solve for x
    x = 41,091,685.14/9,738.44
  6. Step 6: Final answer
    x = 4,219.53

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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.