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Finding the Fourth Proportional to 6,321.32, 9,485.18 and 4,265

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Solution

The fourth proportional to 6,321.32, 9,485.18 and 4,265 is: 6,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.32 : 9,485.18 = 4,265 : x
  2. Step 2: Convert to fraction form
    6,321.32/9,485.18 = 4,265/x
  3. Step 3: Cross multiply
    6,321.32x = 9,485.18 × 4,265
  4. Step 4: Simplify right side
    6,321.32x = 40,454,292.70
  5. Step 5: Solve for x
    x = 40,454,292.70/6,321.32
  6. Step 6: Final answer
    x = 6,399.66

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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.