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Finding the Fourth Proportional to 9,887.73, 13,645.06 and 5,411.48

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Solution

The fourth proportional to 9,887.73, 13,645.06 and 5,411.48 is: 7,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.73 : 13,645.06 = 5,411.48 : x
  2. Step 2: Convert to fraction form
    9,887.73/13,645.06 = 5,411.48/x
  3. Step 3: Cross multiply
    9,887.73x = 13,645.06 × 5,411.48
  4. Step 4: Simplify right side
    9,887.73x = 73,839,969.29
  5. Step 5: Solve for x
    x = 73,839,969.29/9,887.73
  6. Step 6: Final answer
    x = 7,467.84

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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.