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Finding the Fourth Proportional to 9,205.48, 12,703.11 and 5,226.07

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Solution

The fourth proportional to 9,205.48, 12,703.11 and 5,226.07 is: 7,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.48 : 12,703.11 = 5,226.07 : x
  2. Step 2: Convert to fraction form
    9,205.48/12,703.11 = 5,226.07/x
  3. Step 3: Cross multiply
    9,205.48x = 12,703.11 × 5,226.07
  4. Step 4: Simplify right side
    9,205.48x = 66,387,342.08
  5. Step 5: Solve for x
    x = 66,387,342.08/9,205.48
  6. Step 6: Final answer
    x = 7,211.72

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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.