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Finding the Fourth Proportional to 9,865.89, 14,796.06 and 2,748.51

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Solution

The fourth proportional to 9,865.89, 14,796.06 and 2,748.51 is: 4,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.89 : 14,796.06 = 2,748.51 : x
  2. Step 2: Convert to fraction form
    9,865.89/14,796.06 = 2,748.51/x
  3. Step 3: Cross multiply
    9,865.89x = 14,796.06 × 2,748.51
  4. Step 4: Simplify right side
    9,865.89x = 40,667,118.87
  5. Step 5: Solve for x
    x = 40,667,118.87/9,865.89
  6. Step 6: Final answer
    x = 4,121.99

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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.