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Finding the Fourth Proportional to 9,876.38, 13,629.41 and 5,684.63

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Solution

The fourth proportional to 9,876.38, 13,629.41 and 5,684.63 is: 7,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.38 : 13,629.41 = 5,684.63 : x
  2. Step 2: Convert to fraction form
    9,876.38/13,629.41 = 5,684.63/x
  3. Step 3: Cross multiply
    9,876.38x = 13,629.41 × 5,684.63
  4. Step 4: Simplify right side
    9,876.38x = 77,478,056.40
  5. Step 5: Solve for x
    x = 77,478,056.40/9,876.38
  6. Step 6: Final answer
    x = 7,844.79

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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.