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Finding the Fourth Proportional to 9,844.01, 14,764.64 and 2,824.62

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Solution

The fourth proportional to 9,844.01, 14,764.64 and 2,824.62 is: 4,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.01 : 14,764.64 = 2,824.62 : x
  2. Step 2: Convert to fraction form
    9,844.01/14,764.64 = 2,824.62/x
  3. Step 3: Cross multiply
    9,844.01x = 14,764.64 × 2,824.62
  4. Step 4: Simplify right side
    9,844.01x = 41,704,483.31
  5. Step 5: Solve for x
    x = 41,704,483.31/9,844.01
  6. Step 6: Final answer
    x = 4,236.54

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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.