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Finding the Fourth Proportional to 9,876.60, 13,629.88 and 5,898.06

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Solution

The fourth proportional to 9,876.60, 13,629.88 and 5,898.06 is: 8,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.60 : 13,629.88 = 5,898.06 : x
  2. Step 2: Convert to fraction form
    9,876.60/13,629.88 = 5,898.06/x
  3. Step 3: Cross multiply
    9,876.60x = 13,629.88 × 5,898.06
  4. Step 4: Simplify right side
    9,876.60x = 80,389,850.03
  5. Step 5: Solve for x
    x = 80,389,850.03/9,876.60
  6. Step 6: Final answer
    x = 8,139.43

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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.