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Finding the Fourth Proportional to 7,140.54, 9,854.04 and 3,997.74

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Solution

The fourth proportional to 7,140.54, 9,854.04 and 3,997.74 is: 5,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.54 : 9,854.04 = 3,997.74 : x
  2. Step 2: Convert to fraction form
    7,140.54/9,854.04 = 3,997.74/x
  3. Step 3: Cross multiply
    7,140.54x = 9,854.04 × 3,997.74
  4. Step 4: Simplify right side
    7,140.54x = 39,393,889.87
  5. Step 5: Solve for x
    x = 39,393,889.87/7,140.54
  6. Step 6: Final answer
    x = 5,516.93

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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.