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Finding the Fourth Proportional to 6,135.90, 9,204.08 and 5,816.05

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Solution

The fourth proportional to 6,135.90, 9,204.08 and 5,816.05 is: 8,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.90 : 9,204.08 = 5,816.05 : x
  2. Step 2: Convert to fraction form
    6,135.90/9,204.08 = 5,816.05/x
  3. Step 3: Cross multiply
    6,135.90x = 9,204.08 × 5,816.05
  4. Step 4: Simplify right side
    6,135.90x = 53,531,421.88
  5. Step 5: Solve for x
    x = 53,531,421.88/6,135.90
  6. Step 6: Final answer
    x = 8,724.30

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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.