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Finding the Fourth Proportional to 7,140.16, 9,853.87 and 3,997.36

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Solution

The fourth proportional to 7,140.16, 9,853.87 and 3,997.36 is: 5,516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.16 : 9,853.87 = 3,997.36 : x
  2. Step 2: Convert to fraction form
    7,140.16/9,853.87 = 3,997.36/x
  3. Step 3: Cross multiply
    7,140.16x = 9,853.87 × 3,997.36
  4. Step 4: Simplify right side
    7,140.16x = 39,389,416.51
  5. Step 5: Solve for x
    x = 39,389,416.51/7,140.16
  6. Step 6: Final answer
    x = 5,516.61

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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.