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Finding the Fourth Proportional to 9,761.76, 14,650.32 and 5,017.71

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Solution

The fourth proportional to 9,761.76, 14,650.32 and 5,017.71 is: 7,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.76 : 14,650.32 = 5,017.71 : x
  2. Step 2: Convert to fraction form
    9,761.76/14,650.32 = 5,017.71/x
  3. Step 3: Cross multiply
    9,761.76x = 14,650.32 × 5,017.71
  4. Step 4: Simplify right side
    9,761.76x = 73,511,057.17
  5. Step 5: Solve for x
    x = 73,511,057.17/9,761.76
  6. Step 6: Final answer
    x = 7,530.51

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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.