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Finding the Fourth Proportional to 9,358.94, 14,093.80 and 8,141.07

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Solution

The fourth proportional to 9,358.94, 14,093.80 and 8,141.07 is: 12,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.94 : 14,093.80 = 8,141.07 : x
  2. Step 2: Convert to fraction form
    9,358.94/14,093.80 = 8,141.07/x
  3. Step 3: Cross multiply
    9,358.94x = 14,093.80 × 8,141.07
  4. Step 4: Simplify right side
    9,358.94x = 114,738,644.87
  5. Step 5: Solve for x
    x = 114,738,644.87/9,358.94
  6. Step 6: Final answer
    x = 12,259.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.