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Finding the Fourth Proportional to 6,434.25, 9,667.51 and 4,095.27

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Solution

The fourth proportional to 6,434.25, 9,667.51 and 4,095.27 is: 6,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.25 : 9,667.51 = 4,095.27 : x
  2. Step 2: Convert to fraction form
    6,434.25/9,667.51 = 4,095.27/x
  3. Step 3: Cross multiply
    6,434.25x = 9,667.51 × 4,095.27
  4. Step 4: Simplify right side
    6,434.25x = 39,591,015.34
  5. Step 5: Solve for x
    x = 39,591,015.34/6,434.25
  6. Step 6: Final answer
    x = 6,153.17

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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.