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Finding the Fourth Proportional to 9,881.26, 13,635.68 and 5,405.20

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Solution

The fourth proportional to 9,881.26, 13,635.68 and 5,405.20 is: 7,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.26 : 13,635.68 = 5,405.20 : x
  2. Step 2: Convert to fraction form
    9,881.26/13,635.68 = 5,405.20/x
  3. Step 3: Cross multiply
    9,881.26x = 13,635.68 × 5,405.20
  4. Step 4: Simplify right side
    9,881.26x = 73,703,577.54
  5. Step 5: Solve for x
    x = 73,703,577.54/9,881.26
  6. Step 6: Final answer
    x = 7,458.93

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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.