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Finding the Fourth Proportional to 9,205.34, 12,703.60 and 5,226.94

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Solution

The fourth proportional to 9,205.34, 12,703.60 and 5,226.94 is: 7,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.34 : 12,703.60 = 5,226.94 : x
  2. Step 2: Convert to fraction form
    9,205.34/12,703.60 = 5,226.94/x
  3. Step 3: Cross multiply
    9,205.34x = 12,703.60 × 5,226.94
  4. Step 4: Simplify right side
    9,205.34x = 66,400,954.98
  5. Step 5: Solve for x
    x = 66,400,954.98/9,205.34
  6. Step 6: Final answer
    x = 7,213.31

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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.