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Finding the Fourth Proportional to 9,211.77, 12,708.64 and 5,668.83

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Solution

The fourth proportional to 9,211.77, 12,708.64 and 5,668.83 is: 7,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.77 : 12,708.64 = 5,668.83 : x
  2. Step 2: Convert to fraction form
    9,211.77/12,708.64 = 5,668.83/x
  3. Step 3: Cross multiply
    9,211.77x = 12,708.64 × 5,668.83
  4. Step 4: Simplify right side
    9,211.77x = 72,043,137.29
  5. Step 5: Solve for x
    x = 72,043,137.29/9,211.77
  6. Step 6: Final answer
    x = 7,820.77

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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.