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Finding the Fourth Proportional to 9,814.56, 14,722.08 and 2,889.60

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Solution

The fourth proportional to 9,814.56, 14,722.08 and 2,889.60 is: 4,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.56 : 14,722.08 = 2,889.60 : x
  2. Step 2: Convert to fraction form
    9,814.56/14,722.08 = 2,889.60/x
  3. Step 3: Cross multiply
    9,814.56x = 14,722.08 × 2,889.60
  4. Step 4: Simplify right side
    9,814.56x = 42,540,922.37
  5. Step 5: Solve for x
    x = 42,540,922.37/9,814.56
  6. Step 6: Final answer
    x = 4,334.47

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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.