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Finding the Fourth Proportional to 9,464.34, 14,209.08 and 8,086.56

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Solution

The fourth proportional to 9,464.34, 14,209.08 and 8,086.56 is: 12,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.34 : 14,209.08 = 8,086.56 : x
  2. Step 2: Convert to fraction form
    9,464.34/14,209.08 = 8,086.56/x
  3. Step 3: Cross multiply
    9,464.34x = 14,209.08 × 8,086.56
  4. Step 4: Simplify right side
    9,464.34x = 114,902,577.96
  5. Step 5: Solve for x
    x = 114,902,577.96/9,464.34
  6. Step 6: Final answer
    x = 12,140.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.