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Finding the Fourth Proportional to 6,021.80, 9,020.70 and 5,300.20

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Solution

The fourth proportional to 6,021.80, 9,020.70 and 5,300.20 is: 7,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.80 : 9,020.70 = 5,300.20 : x
  2. Step 2: Convert to fraction form
    6,021.80/9,020.70 = 5,300.20/x
  3. Step 3: Cross multiply
    6,021.80x = 9,020.70 × 5,300.20
  4. Step 4: Simplify right side
    6,021.80x = 47,811,514.14
  5. Step 5: Solve for x
    x = 47,811,514.14/6,021.80
  6. Step 6: Final answer
    x = 7,939.74

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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.