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Finding the Fourth Proportional to 7,017.54, 9,684.26 and 3,830.86

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Solution

The fourth proportional to 7,017.54, 9,684.26 and 3,830.86 is: 5,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.54 : 9,684.26 = 3,830.86 : x
  2. Step 2: Convert to fraction form
    7,017.54/9,684.26 = 3,830.86/x
  3. Step 3: Cross multiply
    7,017.54x = 9,684.26 × 3,830.86
  4. Step 4: Simplify right side
    7,017.54x = 37,099,044.26
  5. Step 5: Solve for x
    x = 37,099,044.26/7,017.54
  6. Step 6: Final answer
    x = 5,286.62

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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.