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Finding the Fourth Proportional to 9,222.57, 12,712.23 and 6,394.05

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Solution

The fourth proportional to 9,222.57, 12,712.23 and 6,394.05 is: 8,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.57 : 12,712.23 = 6,394.05 : x
  2. Step 2: Convert to fraction form
    9,222.57/12,712.23 = 6,394.05/x
  3. Step 3: Cross multiply
    9,222.57x = 12,712.23 × 6,394.05
  4. Step 4: Simplify right side
    9,222.57x = 81,282,634.23
  5. Step 5: Solve for x
    x = 81,282,634.23/9,222.57
  6. Step 6: Final answer
    x = 8,813.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.