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Finding the Fourth Proportional to 6,449.64, 9,673.74 and 1,832.52

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Solution

The fourth proportional to 6,449.64, 9,673.74 and 1,832.52 is: 2,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.64 : 9,673.74 = 1,832.52 : x
  2. Step 2: Convert to fraction form
    6,449.64/9,673.74 = 1,832.52/x
  3. Step 3: Cross multiply
    6,449.64x = 9,673.74 × 1,832.52
  4. Step 4: Simplify right side
    6,449.64x = 17,727,322.02
  5. Step 5: Solve for x
    x = 17,727,322.02/6,449.64
  6. Step 6: Final answer
    x = 2,748.58

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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.