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Finding the Fourth Proportional to 6,407.30, 9,593.58 and 3,322.82

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Solution

The fourth proportional to 6,407.30, 9,593.58 and 3,322.82 is: 4,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.30 : 9,593.58 = 3,322.82 : x
  2. Step 2: Convert to fraction form
    6,407.30/9,593.58 = 3,322.82/x
  3. Step 3: Cross multiply
    6,407.30x = 9,593.58 × 3,322.82
  4. Step 4: Simplify right side
    6,407.30x = 31,877,739.50
  5. Step 5: Solve for x
    x = 31,877,739.50/6,407.30
  6. Step 6: Final answer
    x = 4,975.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.