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Finding the Fourth Proportional to 6,946.40, 9,581.41 and 4,290.41

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Solution

The fourth proportional to 6,946.40, 9,581.41 and 4,290.41 is: 5,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.40 : 9,581.41 = 4,290.41 : x
  2. Step 2: Convert to fraction form
    6,946.40/9,581.41 = 4,290.41/x
  3. Step 3: Cross multiply
    6,946.40x = 9,581.41 × 4,290.41
  4. Step 4: Simplify right side
    6,946.40x = 41,108,177.28
  5. Step 5: Solve for x
    x = 41,108,177.28/6,946.40
  6. Step 6: Final answer
    x = 5,917.91

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