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Finding the Fourth Proportional to 6,946.42, 9,586.17 and 3,921.70

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Solution

The fourth proportional to 6,946.42, 9,586.17 and 3,921.70 is: 5,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.42 : 9,586.17 = 3,921.70 : x
  2. Step 2: Convert to fraction form
    6,946.42/9,586.17 = 3,921.70/x
  3. Step 3: Cross multiply
    6,946.42x = 9,586.17 × 3,921.70
  4. Step 4: Simplify right side
    6,946.42x = 37,594,094.87
  5. Step 5: Solve for x
    x = 37,594,094.87/6,946.42
  6. Step 6: Final answer
    x = 5,412.01

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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.