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Finding the Fourth Proportional to 9,634.72, 14,451.36 and 3,478.72

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Solution

The fourth proportional to 9,634.72, 14,451.36 and 3,478.72 is: 5,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.72 : 14,451.36 = 3,478.72 : x
  2. Step 2: Convert to fraction form
    9,634.72/14,451.36 = 3,478.72/x
  3. Step 3: Cross multiply
    9,634.72x = 14,451.36 × 3,478.72
  4. Step 4: Simplify right side
    9,634.72x = 50,272,235.06
  5. Step 5: Solve for x
    x = 50,272,235.06/9,634.72
  6. Step 6: Final answer
    x = 5,217.82

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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.