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Finding the Fourth Proportional to 6,522.03, 9,780.93 and 2,138.45

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Solution

The fourth proportional to 6,522.03, 9,780.93 and 2,138.45 is: 3,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.03 : 9,780.93 = 2,138.45 : x
  2. Step 2: Convert to fraction form
    6,522.03/9,780.93 = 2,138.45/x
  3. Step 3: Cross multiply
    6,522.03x = 9,780.93 × 2,138.45
  4. Step 4: Simplify right side
    6,522.03x = 20,915,980.85
  5. Step 5: Solve for x
    x = 20,915,980.85/6,522.03
  6. Step 6: Final answer
    x = 3,206.97

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