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Finding the Fourth Proportional to 6,946.30, 9,586 and 3,921.58

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Solution

The fourth proportional to 6,946.30, 9,586 and 3,921.58 is: 5,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.30 : 9,586 = 3,921.58 : x
  2. Step 2: Convert to fraction form
    6,946.30/9,586 = 3,921.58/x
  3. Step 3: Cross multiply
    6,946.30x = 9,586 × 3,921.58
  4. Step 4: Simplify right side
    6,946.30x = 37,592,217.95
  5. Step 5: Solve for x
    x = 37,592,217.95/6,946.30
  6. Step 6: Final answer
    x = 5,411.84

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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.