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Finding the Fourth Proportional to 9,205.11, 12,703.50 and 5,226.66

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Solution

The fourth proportional to 9,205.11, 12,703.50 and 5,226.66 is: 7,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.11 : 12,703.50 = 5,226.66 : x
  2. Step 2: Convert to fraction form
    9,205.11/12,703.50 = 5,226.66/x
  3. Step 3: Cross multiply
    9,205.11x = 12,703.50 × 5,226.66
  4. Step 4: Simplify right side
    9,205.11x = 66,396,875.31
  5. Step 5: Solve for x
    x = 66,396,875.31/9,205.11
  6. Step 6: Final answer
    x = 7,213.05

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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.