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Finding the Fourth Proportional to 6,319.51, 9,485.12 and 3,201.72

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Solution

The fourth proportional to 6,319.51, 9,485.12 and 3,201.72 is: 4,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.51 : 9,485.12 = 3,201.72 : x
  2. Step 2: Convert to fraction form
    6,319.51/9,485.12 = 3,201.72/x
  3. Step 3: Cross multiply
    6,319.51x = 9,485.12 × 3,201.72
  4. Step 4: Simplify right side
    6,319.51x = 30,368,706.41
  5. Step 5: Solve for x
    x = 30,368,706.41/6,319.51
  6. Step 6: Final answer
    x = 4,805.55

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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.