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Finding the Fourth Proportional to 6,535.98, 9,021.05 and 4,020.21

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Solution

The fourth proportional to 6,535.98, 9,021.05 and 4,020.21 is: 5,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.98 : 9,021.05 = 4,020.21 : x
  2. Step 2: Convert to fraction form
    6,535.98/9,021.05 = 4,020.21/x
  3. Step 3: Cross multiply
    6,535.98x = 9,021.05 × 4,020.21
  4. Step 4: Simplify right side
    6,535.98x = 36,266,495.32
  5. Step 5: Solve for x
    x = 36,266,495.32/6,535.98
  6. Step 6: Final answer
    x = 5,548.75

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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.