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Finding the Fourth Proportional to 9,105.72, 12,564.86 and 5,126.73

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Solution

The fourth proportional to 9,105.72, 12,564.86 and 5,126.73 is: 7,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.72 : 12,564.86 = 5,126.73 : x
  2. Step 2: Convert to fraction form
    9,105.72/12,564.86 = 5,126.73/x
  3. Step 3: Cross multiply
    9,105.72x = 12,564.86 × 5,126.73
  4. Step 4: Simplify right side
    9,105.72x = 64,416,619.07
  5. Step 5: Solve for x
    x = 64,416,619.07/9,105.72
  6. Step 6: Final answer
    x = 7,074.30

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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.