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Finding the Fourth Proportional to 9,887.41, 13,644.62 and 5,411.16

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Solution

The fourth proportional to 9,887.41, 13,644.62 and 5,411.16 is: 7,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.41 : 13,644.62 = 5,411.16 : x
  2. Step 2: Convert to fraction form
    9,887.41/13,644.62 = 5,411.16/x
  3. Step 3: Cross multiply
    9,887.41x = 13,644.62 × 5,411.16
  4. Step 4: Simplify right side
    9,887.41x = 73,833,126.68
  5. Step 5: Solve for x
    x = 73,833,126.68/9,887.41
  6. Step 6: Final answer
    x = 7,467.39

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Why These Related Problems?

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