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Finding the Fourth Proportional to 9,761.67, 13,477.23 and 7,519.32

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Solution

The fourth proportional to 9,761.67, 13,477.23 and 7,519.32 is: 10,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.67 : 13,477.23 = 7,519.32 : x
  2. Step 2: Convert to fraction form
    9,761.67/13,477.23 = 7,519.32/x
  3. Step 3: Cross multiply
    9,761.67x = 13,477.23 × 7,519.32
  4. Step 4: Simplify right side
    9,761.67x = 101,339,605.08
  5. Step 5: Solve for x
    x = 101,339,605.08/9,761.67
  6. Step 6: Final answer
    x = 10,381.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.