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Finding the Fourth Proportional to 7,137.29, 9,853.19 and 4,449.33

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Solution

The fourth proportional to 7,137.29, 9,853.19 and 4,449.33 is: 6,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.29 : 9,853.19 = 4,449.33 : x
  2. Step 2: Convert to fraction form
    7,137.29/9,853.19 = 4,449.33/x
  3. Step 3: Cross multiply
    7,137.29x = 9,853.19 × 4,449.33
  4. Step 4: Simplify right side
    7,137.29x = 43,840,113.33
  5. Step 5: Solve for x
    x = 43,840,113.33/7,137.29
  6. Step 6: Final answer
    x = 6,142.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.