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Finding the Fourth Proportional to 6,321.98, 9,482.34 and 4,575.26

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Solution

The fourth proportional to 6,321.98, 9,482.34 and 4,575.26 is: 6,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.98 : 9,482.34 = 4,575.26 : x
  2. Step 2: Convert to fraction form
    6,321.98/9,482.34 = 4,575.26/x
  3. Step 3: Cross multiply
    6,321.98x = 9,482.34 × 4,575.26
  4. Step 4: Simplify right side
    6,321.98x = 43,384,170.91
  5. Step 5: Solve for x
    x = 43,384,170.91/6,321.98
  6. Step 6: Final answer
    x = 6,862.43

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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.