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Finding the Fourth Proportional to 6,295.20, 8,667.64 and 5,349.04

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Solution

The fourth proportional to 6,295.20, 8,667.64 and 5,349.04 is: 7,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.20 : 8,667.64 = 5,349.04 : x
  2. Step 2: Convert to fraction form
    6,295.20/8,667.64 = 5,349.04/x
  3. Step 3: Cross multiply
    6,295.20x = 8,667.64 × 5,349.04
  4. Step 4: Simplify right side
    6,295.20x = 46,363,553.07
  5. Step 5: Solve for x
    x = 46,363,553.07/6,295.20
  6. Step 6: Final answer
    x = 7,364.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.