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Finding the Fourth Proportional to 9,091.21, 13,622.14 and 7,633.21

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Solution

The fourth proportional to 9,091.21, 13,622.14 and 7,633.21 is: 11,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.21 : 13,622.14 = 7,633.21 : x
  2. Step 2: Convert to fraction form
    9,091.21/13,622.14 = 7,633.21/x
  3. Step 3: Cross multiply
    9,091.21x = 13,622.14 × 7,633.21
  4. Step 4: Simplify right side
    9,091.21x = 103,980,655.27
  5. Step 5: Solve for x
    x = 103,980,655.27/9,091.21
  6. Step 6: Final answer
    x = 11,437.49

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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.