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Finding the Fourth Proportional to 9,519.60, 13,137.06 and 5,543.38

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Solution

The fourth proportional to 9,519.60, 13,137.06 and 5,543.38 is: 7,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.60 : 13,137.06 = 5,543.38 : x
  2. Step 2: Convert to fraction form
    9,519.60/13,137.06 = 5,543.38/x
  3. Step 3: Cross multiply
    9,519.60x = 13,137.06 × 5,543.38
  4. Step 4: Simplify right side
    9,519.60x = 72,823,649.98
  5. Step 5: Solve for x
    x = 72,823,649.98/9,519.60
  6. Step 6: Final answer
    x = 7,649.86

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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.