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Finding the Fourth Proportional to 6,235.28, 9,356.97 and 3,315.64

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Solution

The fourth proportional to 6,235.28, 9,356.97 and 3,315.64 is: 4,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.28 : 9,356.97 = 3,315.64 : x
  2. Step 2: Convert to fraction form
    6,235.28/9,356.97 = 3,315.64/x
  3. Step 3: Cross multiply
    6,235.28x = 9,356.97 × 3,315.64
  4. Step 4: Simplify right side
    6,235.28x = 31,024,333.05
  5. Step 5: Solve for x
    x = 31,024,333.05/6,235.28
  6. Step 6: Final answer
    x = 4,975.61

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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.