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Finding the Fourth Proportional to 9,616.82, 13,272.48 and 5,639.48

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Solution

The fourth proportional to 9,616.82, 13,272.48 and 5,639.48 is: 7,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.82 : 13,272.48 = 5,639.48 : x
  2. Step 2: Convert to fraction form
    9,616.82/13,272.48 = 5,639.48/x
  3. Step 3: Cross multiply
    9,616.82x = 13,272.48 × 5,639.48
  4. Step 4: Simplify right side
    9,616.82x = 74,849,885.51
  5. Step 5: Solve for x
    x = 74,849,885.51/9,616.82
  6. Step 6: Final answer
    x = 7,783.23

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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.