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Finding the Fourth Proportional to 6,443.08, 9,667.86 and 4,802.92

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Solution

The fourth proportional to 6,443.08, 9,667.86 and 4,802.92 is: 7,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.08 : 9,667.86 = 4,802.92 : x
  2. Step 2: Convert to fraction form
    6,443.08/9,667.86 = 4,802.92/x
  3. Step 3: Cross multiply
    6,443.08x = 9,667.86 × 4,802.92
  4. Step 4: Simplify right side
    6,443.08x = 46,433,958.15
  5. Step 5: Solve for x
    x = 46,433,958.15/6,443.08
  6. Step 6: Final answer
    x = 7,206.80

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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.