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Finding the Fourth Proportional to 9,382.45, 12,948.20 and 5,190.70

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Solution

The fourth proportional to 9,382.45, 12,948.20 and 5,190.70 is: 7,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.45 : 12,948.20 = 5,190.70 : x
  2. Step 2: Convert to fraction form
    9,382.45/12,948.20 = 5,190.70/x
  3. Step 3: Cross multiply
    9,382.45x = 12,948.20 × 5,190.70
  4. Step 4: Simplify right side
    9,382.45x = 67,210,221.74
  5. Step 5: Solve for x
    x = 67,210,221.74/9,382.45
  6. Step 6: Final answer
    x = 7,163.40

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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.