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Finding the Fourth Proportional to 6,503.28, 9,756.33 and 3,212.52

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Solution

The fourth proportional to 6,503.28, 9,756.33 and 3,212.52 is: 4,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.28 : 9,756.33 = 3,212.52 : x
  2. Step 2: Convert to fraction form
    6,503.28/9,756.33 = 3,212.52/x
  3. Step 3: Cross multiply
    6,503.28x = 9,756.33 × 3,212.52
  4. Step 4: Simplify right side
    6,503.28x = 31,342,405.25
  5. Step 5: Solve for x
    x = 31,342,405.25/6,503.28
  6. Step 6: Final answer
    x = 4,819.48

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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.