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Finding the Fourth Proportional to 6,946.26, 10,467.71 and 6,288.35

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Solution

The fourth proportional to 6,946.26, 10,467.71 and 6,288.35 is: 9,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.26 : 10,467.71 = 6,288.35 : x
  2. Step 2: Convert to fraction form
    6,946.26/10,467.71 = 6,288.35/x
  3. Step 3: Cross multiply
    6,946.26x = 10,467.71 × 6,288.35
  4. Step 4: Simplify right side
    6,946.26x = 65,824,540.40
  5. Step 5: Solve for x
    x = 65,824,540.40/6,946.26
  6. Step 6: Final answer
    x = 9,476.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.