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Finding the Fourth Proportional to 9,206.56, 12,700.70 and 5,668.48

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Solution

The fourth proportional to 9,206.56, 12,700.70 and 5,668.48 is: 7,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.56 : 12,700.70 = 5,668.48 : x
  2. Step 2: Convert to fraction form
    9,206.56/12,700.70 = 5,668.48/x
  3. Step 3: Cross multiply
    9,206.56x = 12,700.70 × 5,668.48
  4. Step 4: Simplify right side
    9,206.56x = 71,993,663.94
  5. Step 5: Solve for x
    x = 71,993,663.94/9,206.56
  6. Step 6: Final answer
    x = 7,819.82

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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.