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Finding the Fourth Proportional to 6,301.98, 9,449.82 and 3,670.38

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Solution

The fourth proportional to 6,301.98, 9,449.82 and 3,670.38 is: 5,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.98 : 9,449.82 = 3,670.38 : x
  2. Step 2: Convert to fraction form
    6,301.98/9,449.82 = 3,670.38/x
  3. Step 3: Cross multiply
    6,301.98x = 9,449.82 × 3,670.38
  4. Step 4: Simplify right side
    6,301.98x = 34,684,430.33
  5. Step 5: Solve for x
    x = 34,684,430.33/6,301.98
  6. Step 6: Final answer
    x = 5,503.74

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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.