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Finding the Fourth Proportional to 7,018.21, 9,684.71 and 3,830.87

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Solution

The fourth proportional to 7,018.21, 9,684.71 and 3,830.87 is: 5,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.21 : 9,684.71 = 3,830.87 : x
  2. Step 2: Convert to fraction form
    7,018.21/9,684.71 = 3,830.87/x
  3. Step 3: Cross multiply
    7,018.21x = 9,684.71 × 3,830.87
  4. Step 4: Simplify right side
    7,018.21x = 37,100,829.94
  5. Step 5: Solve for x
    x = 37,100,829.94/7,018.21
  6. Step 6: Final answer
    x = 5,286.37

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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.