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Finding the Fourth Proportional to 6,432.80, 9,647.54 and 2,050.32

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Solution

The fourth proportional to 6,432.80, 9,647.54 and 2,050.32 is: 3,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.80 : 9,647.54 = 2,050.32 : x
  2. Step 2: Convert to fraction form
    6,432.80/9,647.54 = 2,050.32/x
  3. Step 3: Cross multiply
    6,432.80x = 9,647.54 × 2,050.32
  4. Step 4: Simplify right side
    6,432.80x = 19,780,544.21
  5. Step 5: Solve for x
    x = 19,780,544.21/6,432.80
  6. Step 6: Final answer
    x = 3,074.95

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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.