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Finding the Fourth Proportional to 6,332.43, 8,738.00 and 3,499.64

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Solution

The fourth proportional to 6,332.43, 8,738.00 and 3,499.64 is: 4,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.43 : 8,738.00 = 3,499.64 : x
  2. Step 2: Convert to fraction form
    6,332.43/8,738.00 = 3,499.64/x
  3. Step 3: Cross multiply
    6,332.43x = 8,738.00 × 3,499.64
  4. Step 4: Simplify right side
    6,332.43x = 30,579,806.26
  5. Step 5: Solve for x
    x = 30,579,806.26/6,332.43
  6. Step 6: Final answer
    x = 4,829.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.