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Finding the Fourth Proportional to 9,914.60, 13,682.53 and 5,438.54

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Solution

The fourth proportional to 9,914.60, 13,682.53 and 5,438.54 is: 7,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.60 : 13,682.53 = 5,438.54 : x
  2. Step 2: Convert to fraction form
    9,914.60/13,682.53 = 5,438.54/x
  3. Step 3: Cross multiply
    9,914.60x = 13,682.53 × 5,438.54
  4. Step 4: Simplify right side
    9,914.60x = 74,412,986.71
  5. Step 5: Solve for x
    x = 74,412,986.71/9,914.60
  6. Step 6: Final answer
    x = 7,505.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.