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Finding the Fourth Proportional to 9,267.63, 12,778.17 and 7,373.43

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Solution

The fourth proportional to 9,267.63, 12,778.17 and 7,373.43 is: 10,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.63 : 12,778.17 = 7,373.43 : x
  2. Step 2: Convert to fraction form
    9,267.63/12,778.17 = 7,373.43/x
  3. Step 3: Cross multiply
    9,267.63x = 12,778.17 × 7,373.43
  4. Step 4: Simplify right side
    9,267.63x = 94,218,942.02
  5. Step 5: Solve for x
    x = 94,218,942.02/9,267.63
  6. Step 6: Final answer
    x = 10,166.45

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1.5x scale

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.