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Finding the Fourth Proportional to 9,182.62, 12,672.21 and 5,203.50

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Solution

The fourth proportional to 9,182.62, 12,672.21 and 5,203.50 is: 7,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.62 : 12,672.21 = 5,203.50 : x
  2. Step 2: Convert to fraction form
    9,182.62/12,672.21 = 5,203.50/x
  3. Step 3: Cross multiply
    9,182.62x = 12,672.21 × 5,203.50
  4. Step 4: Simplify right side
    9,182.62x = 65,939,844.74
  5. Step 5: Solve for x
    x = 65,939,844.74/9,182.62
  6. Step 6: Final answer
    x = 7,180.94

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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.