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Finding the Fourth Proportional to 10,138.80, 14,038.20 and 9,944.40

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Solution

The fourth proportional to 10,138.80, 14,038.20 and 9,944.40 is: 13,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.80 : 14,038.20 = 9,944.40 : x
  2. Step 2: Convert to fraction form
    10,138.80/14,038.20 = 9,944.40/x
  3. Step 3: Cross multiply
    10,138.80x = 14,038.20 × 9,944.40
  4. Step 4: Simplify right side
    10,138.80x = 139,601,476.08
  5. Step 5: Solve for x
    x = 139,601,476.08/10,138.80
  6. Step 6: Final answer
    x = 13,769.03

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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.