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Finding the Fourth Proportional to 6,427.40, 9,641.10 and 2,272.10

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Solution

The fourth proportional to 6,427.40, 9,641.10 and 2,272.10 is: 3,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.40 : 9,641.10 = 2,272.10 : x
  2. Step 2: Convert to fraction form
    6,427.40/9,641.10 = 2,272.10/x
  3. Step 3: Cross multiply
    6,427.40x = 9,641.10 × 2,272.10
  4. Step 4: Simplify right side
    6,427.40x = 21,905,543.31
  5. Step 5: Solve for x
    x = 21,905,543.31/6,427.40
  6. Step 6: Final answer
    x = 3,408.15

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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.