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Finding the Fourth Proportional to 6,423.86, 8,864.94 and 3,629.36

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Solution

The fourth proportional to 6,423.86, 8,864.94 and 3,629.36 is: 5,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.86 : 8,864.94 = 3,629.36 : x
  2. Step 2: Convert to fraction form
    6,423.86/8,864.94 = 3,629.36/x
  3. Step 3: Cross multiply
    6,423.86x = 8,864.94 × 3,629.36
  4. Step 4: Simplify right side
    6,423.86x = 32,174,058.64
  5. Step 5: Solve for x
    x = 32,174,058.64/6,423.86
  6. Step 6: Final answer
    x = 5,008.52

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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.