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Finding the Fourth Proportional to 6,860.34, 9,467.21 and 3,716.50

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Solution

The fourth proportional to 6,860.34, 9,467.21 and 3,716.50 is: 5,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.34 : 9,467.21 = 3,716.50 : x
  2. Step 2: Convert to fraction form
    6,860.34/9,467.21 = 3,716.50/x
  3. Step 3: Cross multiply
    6,860.34x = 9,467.21 × 3,716.50
  4. Step 4: Simplify right side
    6,860.34x = 35,184,885.97
  5. Step 5: Solve for x
    x = 35,184,885.97/6,860.34
  6. Step 6: Final answer
    x = 5,128.74

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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.