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Finding the Fourth Proportional to 6,352.92, 9,533.82 and 4,276.86

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Solution

The fourth proportional to 6,352.92, 9,533.82 and 4,276.86 is: 6,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.92 : 9,533.82 = 4,276.86 : x
  2. Step 2: Convert to fraction form
    6,352.92/9,533.82 = 4,276.86/x
  3. Step 3: Cross multiply
    6,352.92x = 9,533.82 × 4,276.86
  4. Step 4: Simplify right side
    6,352.92x = 40,774,813.41
  5. Step 5: Solve for x
    x = 40,774,813.41/6,352.92
  6. Step 6: Final answer
    x = 6,418.28

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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.