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Finding the Fourth Proportional to 6,833.16, 9,426.90 and 4,179.72

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Solution

The fourth proportional to 6,833.16, 9,426.90 and 4,179.72 is: 5,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.16 : 9,426.90 = 4,179.72 : x
  2. Step 2: Convert to fraction form
    6,833.16/9,426.90 = 4,179.72/x
  3. Step 3: Cross multiply
    6,833.16x = 9,426.90 × 4,179.72
  4. Step 4: Simplify right side
    6,833.16x = 39,401,802.47
  5. Step 5: Solve for x
    x = 39,401,802.47/6,833.16
  6. Step 6: Final answer
    x = 5,766.26

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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.