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Finding the Fourth Proportional to 6,986.20, 9,649.21 and 5,381.46

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Solution

The fourth proportional to 6,986.20, 9,649.21 and 5,381.46 is: 7,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.20 : 9,649.21 = 5,381.46 : x
  2. Step 2: Convert to fraction form
    6,986.20/9,649.21 = 5,381.46/x
  3. Step 3: Cross multiply
    6,986.20x = 9,649.21 × 5,381.46
  4. Step 4: Simplify right side
    6,986.20x = 51,926,837.65
  5. Step 5: Solve for x
    x = 51,926,837.65/6,986.20
  6. Step 6: Final answer
    x = 7,432.77

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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.