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Finding the Fourth Proportional to 6,435.14, 9,652.71 and 4,141.22

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Solution

The fourth proportional to 6,435.14, 9,652.71 and 4,141.22 is: 6,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.14 : 9,652.71 = 4,141.22 : x
  2. Step 2: Convert to fraction form
    6,435.14/9,652.71 = 4,141.22/x
  3. Step 3: Cross multiply
    6,435.14x = 9,652.71 × 4,141.22
  4. Step 4: Simplify right side
    6,435.14x = 39,973,995.71
  5. Step 5: Solve for x
    x = 39,973,995.71/6,435.14
  6. Step 6: Final answer
    x = 6,211.83

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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.