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Finding the Fourth Proportional to 9,887.24, 13,643.98 and 5,410.88

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Solution

The fourth proportional to 9,887.24, 13,643.98 and 5,410.88 is: 7,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.24 : 13,643.98 = 5,410.88 : x
  2. Step 2: Convert to fraction form
    9,887.24/13,643.98 = 5,410.88/x
  3. Step 3: Cross multiply
    9,887.24x = 13,643.98 × 5,410.88
  4. Step 4: Simplify right side
    9,887.24x = 73,825,938.50
  5. Step 5: Solve for x
    x = 73,825,938.50/9,887.24
  6. Step 6: Final answer
    x = 7,466.79

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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.