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Finding the Fourth Proportional to 9,889.11, 13,646.44 and 5,411.99

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Solution

The fourth proportional to 9,889.11, 13,646.44 and 5,411.99 is: 7,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.11 : 13,646.44 = 5,411.99 : x
  2. Step 2: Convert to fraction form
    9,889.11/13,646.44 = 5,411.99/x
  3. Step 3: Cross multiply
    9,889.11x = 13,646.44 × 5,411.99
  4. Step 4: Simplify right side
    9,889.11x = 73,854,409.68
  5. Step 5: Solve for x
    x = 73,854,409.68/9,889.11
  6. Step 6: Final answer
    x = 7,468.26

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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.