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Finding the Fourth Proportional to 9,485.56, 14,229.10 and 2,559.96

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Solution

The fourth proportional to 9,485.56, 14,229.10 and 2,559.96 is: 3,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.56 : 14,229.10 = 2,559.96 : x
  2. Step 2: Convert to fraction form
    9,485.56/14,229.10 = 2,559.96/x
  3. Step 3: Cross multiply
    9,485.56x = 14,229.10 × 2,559.96
  4. Step 4: Simplify right side
    9,485.56x = 36,425,926.84
  5. Step 5: Solve for x
    x = 36,425,926.84/9,485.56
  6. Step 6: Final answer
    x = 3,840.15

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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.