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Finding the Fourth Proportional to 9,237.39, 13,863.38 and 6,445.94

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Solution

The fourth proportional to 9,237.39, 13,863.38 and 6,445.94 is: 9,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.39 : 13,863.38 = 6,445.94 : x
  2. Step 2: Convert to fraction form
    9,237.39/13,863.38 = 6,445.94/x
  3. Step 3: Cross multiply
    9,237.39x = 13,863.38 × 6,445.94
  4. Step 4: Simplify right side
    9,237.39x = 89,362,414.13
  5. Step 5: Solve for x
    x = 89,362,414.13/9,237.39
  6. Step 6: Final answer
    x = 9,673.99

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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.