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Finding the Fourth Proportional to 9,464.08, 14,208.68 and 8,086.27

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Solution

The fourth proportional to 9,464.08, 14,208.68 and 8,086.27 is: 12,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.08 : 14,208.68 = 8,086.27 : x
  2. Step 2: Convert to fraction form
    9,464.08/14,208.68 = 8,086.27/x
  3. Step 3: Cross multiply
    9,464.08x = 14,208.68 × 8,086.27
  4. Step 4: Simplify right side
    9,464.08x = 114,895,222.82
  5. Step 5: Solve for x
    x = 114,895,222.82/9,464.08
  6. Step 6: Final answer
    x = 12,140.14

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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.