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Finding the Fourth Proportional to 9,645.36, 13,305.06 and 5,665.74

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Solution

The fourth proportional to 9,645.36, 13,305.06 and 5,665.74 is: 7,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.36 : 13,305.06 = 5,665.74 : x
  2. Step 2: Convert to fraction form
    9,645.36/13,305.06 = 5,665.74/x
  3. Step 3: Cross multiply
    9,645.36x = 13,305.06 × 5,665.74
  4. Step 4: Simplify right side
    9,645.36x = 75,383,010.64
  5. Step 5: Solve for x
    x = 75,383,010.64/9,645.36
  6. Step 6: Final answer
    x = 7,815.47

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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.