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Finding the Fourth Proportional to 6,586.43, 9,877.56 and 2,202.84

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Solution

The fourth proportional to 6,586.43, 9,877.56 and 2,202.84 is: 3,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.43 : 9,877.56 = 2,202.84 : x
  2. Step 2: Convert to fraction form
    6,586.43/9,877.56 = 2,202.84/x
  3. Step 3: Cross multiply
    6,586.43x = 9,877.56 × 2,202.84
  4. Step 4: Simplify right side
    6,586.43x = 21,758,684.27
  5. Step 5: Solve for x
    x = 21,758,684.27/6,586.43
  6. Step 6: Final answer
    x = 3,303.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.