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Finding the Fourth Proportional to 6,507.24, 9,763.14 and 4,729.97

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Solution

The fourth proportional to 6,507.24, 9,763.14 and 4,729.97 is: 7,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.24 : 9,763.14 = 4,729.97 : x
  2. Step 2: Convert to fraction form
    6,507.24/9,763.14 = 4,729.97/x
  3. Step 3: Cross multiply
    6,507.24x = 9,763.14 × 4,729.97
  4. Step 4: Simplify right side
    6,507.24x = 46,179,310.49
  5. Step 5: Solve for x
    x = 46,179,310.49/6,507.24
  6. Step 6: Final answer
    x = 7,096.60

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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.