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Finding the Fourth Proportional to 9,381.92, 12,947.10 and 5,190.17

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Solution

The fourth proportional to 9,381.92, 12,947.10 and 5,190.17 is: 7,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.92 : 12,947.10 = 5,190.17 : x
  2. Step 2: Convert to fraction form
    9,381.92/12,947.10 = 5,190.17/x
  3. Step 3: Cross multiply
    9,381.92x = 12,947.10 × 5,190.17
  4. Step 4: Simplify right side
    9,381.92x = 67,197,650.01
  5. Step 5: Solve for x
    x = 67,197,650.01/9,381.92
  6. Step 6: Final answer
    x = 7,162.46

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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.