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Finding the Fourth Proportional to 6,502.44, 9,749.34 and 5,313.36

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Solution

The fourth proportional to 6,502.44, 9,749.34 and 5,313.36 is: 7,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.44 : 9,749.34 = 5,313.36 : x
  2. Step 2: Convert to fraction form
    6,502.44/9,749.34 = 5,313.36/x
  3. Step 3: Cross multiply
    6,502.44x = 9,749.34 × 5,313.36
  4. Step 4: Simplify right side
    6,502.44x = 51,801,753.18
  5. Step 5: Solve for x
    x = 51,801,753.18/6,502.44
  6. Step 6: Final answer
    x = 7,966.51

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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.