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Finding the Fourth Proportional to 9,180.20, 12,670.98 and 5,203.69

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Solution

The fourth proportional to 9,180.20, 12,670.98 and 5,203.69 is: 7,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.20 : 12,670.98 = 5,203.69 : x
  2. Step 2: Convert to fraction form
    9,180.20/12,670.98 = 5,203.69/x
  3. Step 3: Cross multiply
    9,180.20x = 12,670.98 × 5,203.69
  4. Step 4: Simplify right side
    9,180.20x = 65,935,788.56
  5. Step 5: Solve for x
    x = 65,935,788.56/9,180.20
  6. Step 6: Final answer
    x = 7,182.39

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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.