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Finding the Fourth Proportional to 8,969.35, 13,442.94 and 3,119.14

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Solution

The fourth proportional to 8,969.35, 13,442.94 and 3,119.14 is: 4,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.35 : 13,442.94 = 3,119.14 : x
  2. Step 2: Convert to fraction form
    8,969.35/13,442.94 = 3,119.14/x
  3. Step 3: Cross multiply
    8,969.35x = 13,442.94 × 3,119.14
  4. Step 4: Simplify right side
    8,969.35x = 41,930,411.87
  5. Step 5: Solve for x
    x = 41,930,411.87/8,969.35
  6. Step 6: Final answer
    x = 4,674.86

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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.