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Finding the Fourth Proportional to 6,382.72, 9,564.30 and 4,295

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Solution

The fourth proportional to 6,382.72, 9,564.30 and 4,295 is: 6,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.72 : 9,564.30 = 4,295 : x
  2. Step 2: Convert to fraction form
    6,382.72/9,564.30 = 4,295/x
  3. Step 3: Cross multiply
    6,382.72x = 9,564.30 × 4,295
  4. Step 4: Simplify right side
    6,382.72x = 41,078,668.50
  5. Step 5: Solve for x
    x = 41,078,668.50/6,382.72
  6. Step 6: Final answer
    x = 6,435.92

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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.