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Finding the Fourth Proportional to 6,370.85, 9,560.13 and 4,537.22

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Solution

The fourth proportional to 6,370.85, 9,560.13 and 4,537.22 is: 6,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,370.85 : 9,560.13 = 4,537.22 : x
  2. Step 2: Convert to fraction form
    6,370.85/9,560.13 = 4,537.22/x
  3. Step 3: Cross multiply
    6,370.85x = 9,560.13 × 4,537.22
  4. Step 4: Simplify right side
    6,370.85x = 43,376,348.22
  5. Step 5: Solve for x
    x = 43,376,348.22/6,370.85
  6. Step 6: Final answer
    x = 6,808.56

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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.