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Finding the Fourth Proportional to 9,914.40, 13,682.04 and 5,437.88

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Solution

The fourth proportional to 9,914.40, 13,682.04 and 5,437.88 is: 7,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.40 : 13,682.04 = 5,437.88 : x
  2. Step 2: Convert to fraction form
    9,914.40/13,682.04 = 5,437.88/x
  3. Step 3: Cross multiply
    9,914.40x = 13,682.04 × 5,437.88
  4. Step 4: Simplify right side
    9,914.40x = 74,401,291.68
  5. Step 5: Solve for x
    x = 74,401,291.68/9,914.40
  6. Step 6: Final answer
    x = 7,504.37

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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.