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Finding the Fourth Proportional to 6,503.36, 9,756.40 and 2,120.96

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Solution

The fourth proportional to 6,503.36, 9,756.40 and 2,120.96 is: 3,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.36 : 9,756.40 = 2,120.96 : x
  2. Step 2: Convert to fraction form
    6,503.36/9,756.40 = 2,120.96/x
  3. Step 3: Cross multiply
    6,503.36x = 9,756.40 × 2,120.96
  4. Step 4: Simplify right side
    6,503.36x = 20,692,934.14
  5. Step 5: Solve for x
    x = 20,692,934.14/6,503.36
  6. Step 6: Final answer
    x = 3,181.88

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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.