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Finding the Fourth Proportional to 9,284.52, 12,812.22 and 5,092.68

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Solution

The fourth proportional to 9,284.52, 12,812.22 and 5,092.68 is: 7,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.52 : 12,812.22 = 5,092.68 : x
  2. Step 2: Convert to fraction form
    9,284.52/12,812.22 = 5,092.68/x
  3. Step 3: Cross multiply
    9,284.52x = 12,812.22 × 5,092.68
  4. Step 4: Simplify right side
    9,284.52x = 65,248,536.55
  5. Step 5: Solve for x
    x = 65,248,536.55/9,284.52
  6. Step 6: Final answer
    x = 7,027.67

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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.