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Finding the Fourth Proportional to 10,138.80, 14,038.20 and 9,879.60

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Solution

The fourth proportional to 10,138.80, 14,038.20 and 9,879.60 is: 13,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.80 : 14,038.20 = 9,879.60 : x
  2. Step 2: Convert to fraction form
    10,138.80/14,038.20 = 9,879.60/x
  3. Step 3: Cross multiply
    10,138.80x = 14,038.20 × 9,879.60
  4. Step 4: Simplify right side
    10,138.80x = 138,691,800.72
  5. Step 5: Solve for x
    x = 138,691,800.72/10,138.80
  6. Step 6: Final answer
    x = 13,679.31

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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.