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Finding the Fourth Proportional to 9,205.94, 12,705.54 and 5,226.23

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Solution

The fourth proportional to 9,205.94, 12,705.54 and 5,226.23 is: 7,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.94 : 12,705.54 = 5,226.23 : x
  2. Step 2: Convert to fraction form
    9,205.94/12,705.54 = 5,226.23/x
  3. Step 3: Cross multiply
    9,205.94x = 12,705.54 × 5,226.23
  4. Step 4: Simplify right side
    9,205.94x = 66,402,074.31
  5. Step 5: Solve for x
    x = 66,402,074.31/9,205.94
  6. Step 6: Final answer
    x = 7,212.96

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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.