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Finding the Fourth Proportional to 9,138.78, 13,702.68 and 3,212.40

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Solution

The fourth proportional to 9,138.78, 13,702.68 and 3,212.40 is: 4,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.78 : 13,702.68 = 3,212.40 : x
  2. Step 2: Convert to fraction form
    9,138.78/13,702.68 = 3,212.40/x
  3. Step 3: Cross multiply
    9,138.78x = 13,702.68 × 3,212.40
  4. Step 4: Simplify right side
    9,138.78x = 44,018,489.23
  5. Step 5: Solve for x
    x = 44,018,489.23/9,138.78
  6. Step 6: Final answer
    x = 4,816.67

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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.