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Finding the Fourth Proportional to 7,017.86, 9,684.67 and 3,874.04

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Solution

The fourth proportional to 7,017.86, 9,684.67 and 3,874.04 is: 5,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.86 : 9,684.67 = 3,874.04 : x
  2. Step 2: Convert to fraction form
    7,017.86/9,684.67 = 3,874.04/x
  3. Step 3: Cross multiply
    7,017.86x = 9,684.67 × 3,874.04
  4. Step 4: Simplify right side
    7,017.86x = 37,518,798.97
  5. Step 5: Solve for x
    x = 37,518,798.97/7,017.86
  6. Step 6: Final answer
    x = 5,346.19

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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.