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Finding the Fourth Proportional to 8,429.75, 12,646.25 and 3,235.22

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Solution

The fourth proportional to 8,429.75, 12,646.25 and 3,235.22 is: 4,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.75 : 12,646.25 = 3,235.22 : x
  2. Step 2: Convert to fraction form
    8,429.75/12,646.25 = 3,235.22/x
  3. Step 3: Cross multiply
    8,429.75x = 12,646.25 × 3,235.22
  4. Step 4: Simplify right side
    8,429.75x = 40,913,321.52
  5. Step 5: Solve for x
    x = 40,913,321.52/8,429.75
  6. Step 6: Final answer
    x = 4,853.45

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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.