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Finding the Fourth Proportional to 6,502.37, 9,749.00 and 3,332.02

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Solution

The fourth proportional to 6,502.37, 9,749.00 and 3,332.02 is: 4,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.37 : 9,749.00 = 3,332.02 : x
  2. Step 2: Convert to fraction form
    6,502.37/9,749.00 = 3,332.02/x
  3. Step 3: Cross multiply
    6,502.37x = 9,749.00 × 3,332.02
  4. Step 4: Simplify right side
    6,502.37x = 32,483,822.57
  5. Step 5: Solve for x
    x = 32,483,822.57/6,502.37
  6. Step 6: Final answer
    x = 4,995.69

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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.