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Finding the Fourth Proportional to 6,512.56, 9,771 and 4,329.88

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Solution

The fourth proportional to 6,512.56, 9,771 and 4,329.88 is: 6,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.56 : 9,771 = 4,329.88 : x
  2. Step 2: Convert to fraction form
    6,512.56/9,771 = 4,329.88/x
  3. Step 3: Cross multiply
    6,512.56x = 9,771 × 4,329.88
  4. Step 4: Simplify right side
    6,512.56x = 42,307,257.48
  5. Step 5: Solve for x
    x = 42,307,257.48/6,512.56
  6. Step 6: Final answer
    x = 6,496.26

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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.