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Finding the Fourth Proportional to 9,443.72, 14,158.66 and 4,761.41

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Solution

The fourth proportional to 9,443.72, 14,158.66 and 4,761.41 is: 7,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.72 : 14,158.66 = 4,761.41 : x
  2. Step 2: Convert to fraction form
    9,443.72/14,158.66 = 4,761.41/x
  3. Step 3: Cross multiply
    9,443.72x = 14,158.66 × 4,761.41
  4. Step 4: Simplify right side
    9,443.72x = 67,415,161.50
  5. Step 5: Solve for x
    x = 67,415,161.50/9,443.72
  6. Step 6: Final answer
    x = 7,138.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.