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Finding the Fourth Proportional to 9,986.48, 13,839.59 and 9,845.54

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Solution

The fourth proportional to 9,986.48, 13,839.59 and 9,845.54 is: 13,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.48 : 13,839.59 = 9,845.54 : x
  2. Step 2: Convert to fraction form
    9,986.48/13,839.59 = 9,845.54/x
  3. Step 3: Cross multiply
    9,986.48x = 13,839.59 × 9,845.54
  4. Step 4: Simplify right side
    9,986.48x = 136,258,118.50
  5. Step 5: Solve for x
    x = 136,258,118.50/9,986.48
  6. Step 6: Final answer
    x = 13,644.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.