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Finding the Fourth Proportional to 9,610.72, 14,418.17 and 2,947.22

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Solution

The fourth proportional to 9,610.72, 14,418.17 and 2,947.22 is: 4,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.72 : 14,418.17 = 2,947.22 : x
  2. Step 2: Convert to fraction form
    9,610.72/14,418.17 = 2,947.22/x
  3. Step 3: Cross multiply
    9,610.72x = 14,418.17 × 2,947.22
  4. Step 4: Simplify right side
    9,610.72x = 42,493,497.28
  5. Step 5: Solve for x
    x = 42,493,497.28/9,610.72
  6. Step 6: Final answer
    x = 4,421.47

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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.