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Finding the Fourth Proportional to 6,024.34, 9,021.84 and 4,170.25

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Solution

The fourth proportional to 6,024.34, 9,021.84 and 4,170.25 is: 6,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.34 : 9,021.84 = 4,170.25 : x
  2. Step 2: Convert to fraction form
    6,024.34/9,021.84 = 4,170.25/x
  3. Step 3: Cross multiply
    6,024.34x = 9,021.84 × 4,170.25
  4. Step 4: Simplify right side
    6,024.34x = 37,623,328.26
  5. Step 5: Solve for x
    x = 37,623,328.26/6,024.34
  6. Step 6: Final answer
    x = 6,245.22

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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.