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Finding the Fourth Proportional to 6,395.42, 8,825.72 and 3,742.32

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Solution

The fourth proportional to 6,395.42, 8,825.72 and 3,742.32 is: 5,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.42 : 8,825.72 = 3,742.32 : x
  2. Step 2: Convert to fraction form
    6,395.42/8,825.72 = 3,742.32/x
  3. Step 3: Cross multiply
    6,395.42x = 8,825.72 × 3,742.32
  4. Step 4: Simplify right side
    6,395.42x = 33,028,649.76
  5. Step 5: Solve for x
    x = 33,028,649.76/6,395.42
  6. Step 6: Final answer
    x = 5,164.42

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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.