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Finding the Fourth Proportional to 9,299.14, 12,828.06 and 5,938.42

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Solution

The fourth proportional to 9,299.14, 12,828.06 and 5,938.42 is: 8,191.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.14 : 12,828.06 = 5,938.42 : x
  2. Step 2: Convert to fraction form
    9,299.14/12,828.06 = 5,938.42/x
  3. Step 3: Cross multiply
    9,299.14x = 12,828.06 × 5,938.42
  4. Step 4: Simplify right side
    9,299.14x = 76,178,408.07
  5. Step 5: Solve for x
    x = 76,178,408.07/9,299.14
  6. Step 6: Final answer
    x = 8,191.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.