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Finding the Fourth Proportional to 9,982.40, 14,972.40 and 4,138.40

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Solution

The fourth proportional to 9,982.40, 14,972.40 and 4,138.40 is: 6,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.40 : 14,972.40 = 4,138.40 : x
  2. Step 2: Convert to fraction form
    9,982.40/14,972.40 = 4,138.40/x
  3. Step 3: Cross multiply
    9,982.40x = 14,972.40 × 4,138.40
  4. Step 4: Simplify right side
    9,982.40x = 61,961,780.16
  5. Step 5: Solve for x
    x = 61,961,780.16/9,982.40
  6. Step 6: Final answer
    x = 6,207.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.