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Finding the Fourth Proportional to 9,649.98, 13,320.26 and 5,672.27

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Solution

The fourth proportional to 9,649.98, 13,320.26 and 5,672.27 is: 7,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.98 : 13,320.26 = 5,672.27 : x
  2. Step 2: Convert to fraction form
    9,649.98/13,320.26 = 5,672.27/x
  3. Step 3: Cross multiply
    9,649.98x = 13,320.26 × 5,672.27
  4. Step 4: Simplify right side
    9,649.98x = 75,556,130.31
  5. Step 5: Solve for x
    x = 75,556,130.31/9,649.98
  6. Step 6: Final answer
    x = 7,829.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.