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Finding the Fourth Proportional to 9,887.88, 13,645.25 and 5,411.60

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Solution

The fourth proportional to 9,887.88, 13,645.25 and 5,411.60 is: 7,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.88 : 13,645.25 = 5,411.60 : x
  2. Step 2: Convert to fraction form
    9,887.88/13,645.25 = 5,411.60/x
  3. Step 3: Cross multiply
    9,887.88x = 13,645.25 × 5,411.60
  4. Step 4: Simplify right side
    9,887.88x = 73,842,539.62
  5. Step 5: Solve for x
    x = 73,842,539.62/9,887.88
  6. Step 6: Final answer
    x = 7,467.99

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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.