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Finding the Fourth Proportional to 9,761.31, 14,644.13 and 5,376.51

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Solution

The fourth proportional to 9,761.31, 14,644.13 and 5,376.51 is: 8,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.31 : 14,644.13 = 5,376.51 : x
  2. Step 2: Convert to fraction form
    9,761.31/14,644.13 = 5,376.51/x
  3. Step 3: Cross multiply
    9,761.31x = 14,644.13 × 5,376.51
  4. Step 4: Simplify right side
    9,761.31x = 78,734,284.50
  5. Step 5: Solve for x
    x = 78,734,284.50/9,761.31
  6. Step 6: Final answer
    x = 8,065.95

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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.