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Finding the Fourth Proportional to 9,649.91, 13,320.15 and 5,672.20

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Solution

The fourth proportional to 9,649.91, 13,320.15 and 5,672.20 is: 7,829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.91 : 13,320.15 = 5,672.20 : x
  2. Step 2: Convert to fraction form
    9,649.91/13,320.15 = 5,672.20/x
  3. Step 3: Cross multiply
    9,649.91x = 13,320.15 × 5,672.20
  4. Step 4: Simplify right side
    9,649.91x = 75,554,488.23
  5. Step 5: Solve for x
    x = 75,554,488.23/9,649.91
  6. Step 6: Final answer
    x = 7,829.56

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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.