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Finding the Fourth Proportional to 6,946.15, 9,585.01 and 3,961.19

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Solution

The fourth proportional to 6,946.15, 9,585.01 and 3,961.19 is: 5,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.15 : 9,585.01 = 3,961.19 : x
  2. Step 2: Convert to fraction form
    6,946.15/9,585.01 = 3,961.19/x
  3. Step 3: Cross multiply
    6,946.15x = 9,585.01 × 3,961.19
  4. Step 4: Simplify right side
    6,946.15x = 37,968,059.82
  5. Step 5: Solve for x
    x = 37,968,059.82/6,946.15
  6. Step 6: Final answer
    x = 5,466.06

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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.