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Finding the Fourth Proportional to 6,821.20, 9,407.64 and 4,024

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Solution

The fourth proportional to 6,821.20, 9,407.64 and 4,024 is: 5,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.20 : 9,407.64 = 4,024 : x
  2. Step 2: Convert to fraction form
    6,821.20/9,407.64 = 4,024/x
  3. Step 3: Cross multiply
    6,821.20x = 9,407.64 × 4,024
  4. Step 4: Simplify right side
    6,821.20x = 37,856,343.36
  5. Step 5: Solve for x
    x = 37,856,343.36/6,821.20
  6. Step 6: Final answer
    x = 5,549.81

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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.