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Finding the Fourth Proportional to 6,024.98, 9,040.20 and 3,564.61

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Solution

The fourth proportional to 6,024.98, 9,040.20 and 3,564.61 is: 5,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.98 : 9,040.20 = 3,564.61 : x
  2. Step 2: Convert to fraction form
    6,024.98/9,040.20 = 3,564.61/x
  3. Step 3: Cross multiply
    6,024.98x = 9,040.20 × 3,564.61
  4. Step 4: Simplify right side
    6,024.98x = 32,224,787.32
  5. Step 5: Solve for x
    x = 32,224,787.32/6,024.98
  6. Step 6: Final answer
    x = 5,348.53

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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.