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Finding the Fourth Proportional to 9,485.77, 14,226.69 and 2,822.31

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Solution

The fourth proportional to 9,485.77, 14,226.69 and 2,822.31 is: 4,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.77 : 14,226.69 = 2,822.31 : x
  2. Step 2: Convert to fraction form
    9,485.77/14,226.69 = 2,822.31/x
  3. Step 3: Cross multiply
    9,485.77x = 14,226.69 × 2,822.31
  4. Step 4: Simplify right side
    9,485.77x = 40,152,129.45
  5. Step 5: Solve for x
    x = 40,152,129.45/9,485.77
  6. Step 6: Final answer
    x = 4,232.88

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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.