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Finding the Fourth Proportional to 9,212.41, 12,700.25 and 7,790.39

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Solution

The fourth proportional to 9,212.41, 12,700.25 and 7,790.39 is: 10,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.41 : 12,700.25 = 7,790.39 : x
  2. Step 2: Convert to fraction form
    9,212.41/12,700.25 = 7,790.39/x
  3. Step 3: Cross multiply
    9,212.41x = 12,700.25 × 7,790.39
  4. Step 4: Simplify right side
    9,212.41x = 98,939,922.97
  5. Step 5: Solve for x
    x = 98,939,922.97/9,212.41
  6. Step 6: Final answer
    x = 10,739.85

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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.