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Finding the Fourth Proportional to 6,320.23, 8,712 and 4,327.33

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Solution

The fourth proportional to 6,320.23, 8,712 and 4,327.33 is: 5,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.23 : 8,712 = 4,327.33 : x
  2. Step 2: Convert to fraction form
    6,320.23/8,712 = 4,327.33/x
  3. Step 3: Cross multiply
    6,320.23x = 8,712 × 4,327.33
  4. Step 4: Simplify right side
    6,320.23x = 37,699,698.96
  5. Step 5: Solve for x
    x = 37,699,698.96/6,320.23
  6. Step 6: Final answer
    x = 5,964.93

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Why These Related Problems?

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