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Finding the Fourth Proportional to 9,887.42, 13,645 and 5,411.56

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Solution

The fourth proportional to 9,887.42, 13,645 and 5,411.56 is: 7,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.42 : 13,645 = 5,411.56 : x
  2. Step 2: Convert to fraction form
    9,887.42/13,645 = 5,411.56/x
  3. Step 3: Cross multiply
    9,887.42x = 13,645 × 5,411.56
  4. Step 4: Simplify right side
    9,887.42x = 73,840,736.20
  5. Step 5: Solve for x
    x = 73,840,736.20/9,887.42
  6. Step 6: Final answer
    x = 7,468.15

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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.