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Finding the Fourth Proportional to 6,946.82, 9,586.60 and 3,803

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Solution

The fourth proportional to 6,946.82, 9,586.60 and 3,803 is: 5,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.82 : 9,586.60 = 3,803 : x
  2. Step 2: Convert to fraction form
    6,946.82/9,586.60 = 3,803/x
  3. Step 3: Cross multiply
    6,946.82x = 9,586.60 × 3,803
  4. Step 4: Simplify right side
    6,946.82x = 36,457,839.80
  5. Step 5: Solve for x
    x = 36,457,839.80/6,946.82
  6. Step 6: Final answer
    x = 5,248.14

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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.