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Finding the Fourth Proportional to 9,638.44, 14,458.76 and 3,715.09

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Solution

The fourth proportional to 9,638.44, 14,458.76 and 3,715.09 is: 5,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.44 : 14,458.76 = 3,715.09 : x
  2. Step 2: Convert to fraction form
    9,638.44/14,458.76 = 3,715.09/x
  3. Step 3: Cross multiply
    9,638.44x = 14,458.76 × 3,715.09
  4. Step 4: Simplify right side
    9,638.44x = 53,715,594.69
  5. Step 5: Solve for x
    x = 53,715,594.69/9,638.44
  6. Step 6: Final answer
    x = 5,573.06

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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.