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Finding the Fourth Proportional to 9,485.78, 14,226.99 and 2,560.82

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Solution

The fourth proportional to 9,485.78, 14,226.99 and 2,560.82 is: 3,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.78 : 14,226.99 = 2,560.82 : x
  2. Step 2: Convert to fraction form
    9,485.78/14,226.99 = 2,560.82/x
  3. Step 3: Cross multiply
    9,485.78x = 14,226.99 × 2,560.82
  4. Step 4: Simplify right side
    9,485.78x = 36,432,760.53
  5. Step 5: Solve for x
    x = 36,432,760.53/9,485.78
  6. Step 6: Final answer
    x = 3,840.78

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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.