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Finding the Fourth Proportional to 9,641.36, 13,305.18 and 5,662.54

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Solution

The fourth proportional to 9,641.36, 13,305.18 and 5,662.54 is: 7,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.36 : 13,305.18 = 5,662.54 : x
  2. Step 2: Convert to fraction form
    9,641.36/13,305.18 = 5,662.54/x
  3. Step 3: Cross multiply
    9,641.36x = 13,305.18 × 5,662.54
  4. Step 4: Simplify right side
    9,641.36x = 75,341,119.97
  5. Step 5: Solve for x
    x = 75,341,119.97/9,641.36
  6. Step 6: Final answer
    x = 7,814.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.