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Finding the Fourth Proportional to 9,381.94, 12,946.92 and 5,190.20

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Solution

The fourth proportional to 9,381.94, 12,946.92 and 5,190.20 is: 7,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.94 : 12,946.92 = 5,190.20 : x
  2. Step 2: Convert to fraction form
    9,381.94/12,946.92 = 5,190.20/x
  3. Step 3: Cross multiply
    9,381.94x = 12,946.92 × 5,190.20
  4. Step 4: Simplify right side
    9,381.94x = 67,197,104.18
  5. Step 5: Solve for x
    x = 67,197,104.18/9,381.94
  6. Step 6: Final answer
    x = 7,162.39

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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.