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Finding the Fourth Proportional to 6,538.60, 9,786.30 and 6,020.20

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Solution

The fourth proportional to 6,538.60, 9,786.30 and 6,020.20 is: 9,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.60 : 9,786.30 = 6,020.20 : x
  2. Step 2: Convert to fraction form
    6,538.60/9,786.30 = 6,020.20/x
  3. Step 3: Cross multiply
    6,538.60x = 9,786.30 × 6,020.20
  4. Step 4: Simplify right side
    6,538.60x = 58,915,483.26
  5. Step 5: Solve for x
    x = 58,915,483.26/6,538.60
  6. Step 6: Final answer
    x = 9,010.41

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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.