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Finding the Fourth Proportional to 6,291.36, 9,435.67 and 3,817.32

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Solution

The fourth proportional to 6,291.36, 9,435.67 and 3,817.32 is: 5,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.36 : 9,435.67 = 3,817.32 : x
  2. Step 2: Convert to fraction form
    6,291.36/9,435.67 = 3,817.32/x
  3. Step 3: Cross multiply
    6,291.36x = 9,435.67 × 3,817.32
  4. Step 4: Simplify right side
    6,291.36x = 36,018,971.80
  5. Step 5: Solve for x
    x = 36,018,971.80/6,291.36
  6. Step 6: Final answer
    x = 5,725.15

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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.