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Finding the Fourth Proportional to 8,090.10, 11,154.74 and 6,969.15

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Solution

The fourth proportional to 8,090.10, 11,154.74 and 6,969.15 is: 9,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.10 : 11,154.74 = 6,969.15 : x
  2. Step 2: Convert to fraction form
    8,090.10/11,154.74 = 6,969.15/x
  3. Step 3: Cross multiply
    8,090.10x = 11,154.74 × 6,969.15
  4. Step 4: Simplify right side
    8,090.10x = 77,739,021.43
  5. Step 5: Solve for x
    x = 77,739,021.43/8,090.10
  6. Step 6: Final answer
    x = 9,609.15

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