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Finding the Fourth Proportional to 9,138.18, 13,705.71 and 3,293.94

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Solution

The fourth proportional to 9,138.18, 13,705.71 and 3,293.94 is: 4,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.18 : 13,705.71 = 3,293.94 : x
  2. Step 2: Convert to fraction form
    9,138.18/13,705.71 = 3,293.94/x
  3. Step 3: Cross multiply
    9,138.18x = 13,705.71 × 3,293.94
  4. Step 4: Simplify right side
    9,138.18x = 45,145,786.40
  5. Step 5: Solve for x
    x = 45,145,786.40/9,138.18
  6. Step 6: Final answer
    x = 4,940.35

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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.