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Finding the Fourth Proportional to 6,086.64, 9,112.16 and 5,502.98

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Solution

The fourth proportional to 6,086.64, 9,112.16 and 5,502.98 is: 8,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.64 : 9,112.16 = 5,502.98 : x
  2. Step 2: Convert to fraction form
    6,086.64/9,112.16 = 5,502.98/x
  3. Step 3: Cross multiply
    6,086.64x = 9,112.16 × 5,502.98
  4. Step 4: Simplify right side
    6,086.64x = 50,144,070.77
  5. Step 5: Solve for x
    x = 50,144,070.77/6,086.64
  6. Step 6: Final answer
    x = 8,238.39

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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.