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Finding the Fourth Proportional to 6,497.06, 9,730.40 and 3,199.55

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Solution

The fourth proportional to 6,497.06, 9,730.40 and 3,199.55 is: 4,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.06 : 9,730.40 = 3,199.55 : x
  2. Step 2: Convert to fraction form
    6,497.06/9,730.40 = 3,199.55/x
  3. Step 3: Cross multiply
    6,497.06x = 9,730.40 × 3,199.55
  4. Step 4: Simplify right side
    6,497.06x = 31,132,836.67
  5. Step 5: Solve for x
    x = 31,132,836.67/6,497.06
  6. Step 6: Final answer
    x = 4,791.84

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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.