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Finding the Fourth Proportional to 9,090.64, 13,625.94 and 5,186.44

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Solution

The fourth proportional to 9,090.64, 13,625.94 and 5,186.44 is: 7,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.64 : 13,625.94 = 5,186.44 : x
  2. Step 2: Convert to fraction form
    9,090.64/13,625.94 = 5,186.44/x
  3. Step 3: Cross multiply
    9,090.64x = 13,625.94 × 5,186.44
  4. Step 4: Simplify right side
    9,090.64x = 70,670,120.25
  5. Step 5: Solve for x
    x = 70,670,120.25/9,090.64
  6. Step 6: Final answer
    x = 7,773.94

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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.