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Finding the Fourth Proportional to 6,348.56, 9,523.50 and 2,188.07

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Solution

The fourth proportional to 6,348.56, 9,523.50 and 2,188.07 is: 3,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.56 : 9,523.50 = 2,188.07 : x
  2. Step 2: Convert to fraction form
    6,348.56/9,523.50 = 2,188.07/x
  3. Step 3: Cross multiply
    6,348.56x = 9,523.50 × 2,188.07
  4. Step 4: Simplify right side
    6,348.56x = 20,838,037.03
  5. Step 5: Solve for x
    x = 20,838,037.03/6,348.56
  6. Step 6: Final answer
    x = 3,282.33

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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.