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Finding the Fourth Proportional to 9,090.38, 13,641.85 and 5,971.88

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Solution

The fourth proportional to 9,090.38, 13,641.85 and 5,971.88 is: 8,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.38 : 13,641.85 = 5,971.88 : x
  2. Step 2: Convert to fraction form
    9,090.38/13,641.85 = 5,971.88/x
  3. Step 3: Cross multiply
    9,090.38x = 13,641.85 × 5,971.88
  4. Step 4: Simplify right side
    9,090.38x = 81,467,476.25
  5. Step 5: Solve for x
    x = 81,467,476.25/9,090.38
  6. Step 6: Final answer
    x = 8,961.94

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