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Finding the Fourth Proportional to 9,684.21, 13,366.34 and 6,146.73

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Solution

The fourth proportional to 9,684.21, 13,366.34 and 6,146.73 is: 8,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.21 : 13,366.34 = 6,146.73 : x
  2. Step 2: Convert to fraction form
    9,684.21/13,366.34 = 6,146.73/x
  3. Step 3: Cross multiply
    9,684.21x = 13,366.34 × 6,146.73
  4. Step 4: Simplify right side
    9,684.21x = 82,159,252.33
  5. Step 5: Solve for x
    x = 82,159,252.33/9,684.21
  6. Step 6: Final answer
    x = 8,483.84

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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.