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Finding the Fourth Proportional to 6,431.42, 9,649.22 and 2,921.01

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Solution

The fourth proportional to 6,431.42, 9,649.22 and 2,921.01 is: 4,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.42 : 9,649.22 = 2,921.01 : x
  2. Step 2: Convert to fraction form
    6,431.42/9,649.22 = 2,921.01/x
  3. Step 3: Cross multiply
    6,431.42x = 9,649.22 × 2,921.01
  4. Step 4: Simplify right side
    6,431.42x = 28,185,453.51
  5. Step 5: Solve for x
    x = 28,185,453.51/6,431.42
  6. Step 6: Final answer
    x = 4,382.47

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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.