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Finding the Fourth Proportional to 9,262.56, 13,893.69 and 2,242.51

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Solution

The fourth proportional to 9,262.56, 13,893.69 and 2,242.51 is: 3,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.56 : 13,893.69 = 2,242.51 : x
  2. Step 2: Convert to fraction form
    9,262.56/13,893.69 = 2,242.51/x
  3. Step 3: Cross multiply
    9,262.56x = 13,893.69 × 2,242.51
  4. Step 4: Simplify right side
    9,262.56x = 31,156,738.76
  5. Step 5: Solve for x
    x = 31,156,738.76/9,262.56
  6. Step 6: Final answer
    x = 3,363.73

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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.