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Finding the Fourth Proportional to 9,138.26, 13,703.07 and 4,206.44

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Solution

The fourth proportional to 9,138.26, 13,703.07 and 4,206.44 is: 6,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.26 : 13,703.07 = 4,206.44 : x
  2. Step 2: Convert to fraction form
    9,138.26/13,703.07 = 4,206.44/x
  3. Step 3: Cross multiply
    9,138.26x = 13,703.07 × 4,206.44
  4. Step 4: Simplify right side
    9,138.26x = 57,641,141.77
  5. Step 5: Solve for x
    x = 57,641,141.77/9,138.26
  6. Step 6: Final answer
    x = 6,307.67

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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.