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Finding the Fourth Proportional to 9,463.83, 14,208.31 and 8,086.02

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Solution

The fourth proportional to 9,463.83, 14,208.31 and 8,086.02 is: 12,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.83 : 14,208.31 = 8,086.02 : x
  2. Step 2: Convert to fraction form
    9,463.83/14,208.31 = 8,086.02/x
  3. Step 3: Cross multiply
    9,463.83x = 14,208.31 × 8,086.02
  4. Step 4: Simplify right side
    9,463.83x = 114,888,638.40
  5. Step 5: Solve for x
    x = 114,888,638.40/9,463.83
  6. Step 6: Final answer
    x = 12,139.76

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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.