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Finding the Fourth Proportional to 6,336.64, 9,501.54 and 1,952.92

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Solution

The fourth proportional to 6,336.64, 9,501.54 and 1,952.92 is: 2,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.64 : 9,501.54 = 1,952.92 : x
  2. Step 2: Convert to fraction form
    6,336.64/9,501.54 = 1,952.92/x
  3. Step 3: Cross multiply
    6,336.64x = 9,501.54 × 1,952.92
  4. Step 4: Simplify right side
    6,336.64x = 18,555,747.50
  5. Step 5: Solve for x
    x = 18,555,747.50/6,336.64
  6. Step 6: Final answer
    x = 2,928.33

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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.