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Finding the Fourth Proportional to 9,471.26, 13,068.24 and 6,486.38

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Solution

The fourth proportional to 9,471.26, 13,068.24 and 6,486.38 is: 8,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.26 : 13,068.24 = 6,486.38 : x
  2. Step 2: Convert to fraction form
    9,471.26/13,068.24 = 6,486.38/x
  3. Step 3: Cross multiply
    9,471.26x = 13,068.24 × 6,486.38
  4. Step 4: Simplify right side
    9,471.26x = 84,765,570.57
  5. Step 5: Solve for x
    x = 84,765,570.57/9,471.26
  6. Step 6: Final answer
    x = 8,949.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.