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Finding the Fourth Proportional to 6,382.32, 9,570.36 and 3,784.56

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Solution

The fourth proportional to 6,382.32, 9,570.36 and 3,784.56 is: 5,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.32 : 9,570.36 = 3,784.56 : x
  2. Step 2: Convert to fraction form
    6,382.32/9,570.36 = 3,784.56/x
  3. Step 3: Cross multiply
    6,382.32x = 9,570.36 × 3,784.56
  4. Step 4: Simplify right side
    6,382.32x = 36,219,601.64
  5. Step 5: Solve for x
    x = 36,219,601.64/6,382.32
  6. Step 6: Final answer
    x = 5,674.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.