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Finding the Fourth Proportional to 9,105.75, 12,566.03 and 5,126.67

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Solution

The fourth proportional to 9,105.75, 12,566.03 and 5,126.67 is: 7,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.75 : 12,566.03 = 5,126.67 : x
  2. Step 2: Convert to fraction form
    9,105.75/12,566.03 = 5,126.67/x
  3. Step 3: Cross multiply
    9,105.75x = 12,566.03 × 5,126.67
  4. Step 4: Simplify right side
    9,105.75x = 64,421,863.39
  5. Step 5: Solve for x
    x = 64,421,863.39/9,105.75
  6. Step 6: Final answer
    x = 7,074.86

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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.