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Finding the Fourth Proportional to 6,188.16, 9,285.12 and 3,106.56

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Solution

The fourth proportional to 6,188.16, 9,285.12 and 3,106.56 is: 4,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.16 : 9,285.12 = 3,106.56 : x
  2. Step 2: Convert to fraction form
    6,188.16/9,285.12 = 3,106.56/x
  3. Step 3: Cross multiply
    6,188.16x = 9,285.12 × 3,106.56
  4. Step 4: Simplify right side
    6,188.16x = 28,844,782.39
  5. Step 5: Solve for x
    x = 28,844,782.39/6,188.16
  6. Step 6: Final answer
    x = 4,661.29

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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.