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Finding the Fourth Proportional to 9,592.71, 14,381.78 and 7,959.75

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Solution

The fourth proportional to 9,592.71, 14,381.78 and 7,959.75 is: 11,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.71 : 14,381.78 = 7,959.75 : x
  2. Step 2: Convert to fraction form
    9,592.71/14,381.78 = 7,959.75/x
  3. Step 3: Cross multiply
    9,592.71x = 14,381.78 × 7,959.75
  4. Step 4: Simplify right side
    9,592.71x = 114,475,333.56
  5. Step 5: Solve for x
    x = 114,475,333.56/9,592.71
  6. Step 6: Final answer
    x = 11,933.58

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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.