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Finding the Fourth Proportional to 6,833.34, 9,436.23 and 5,151.87

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Solution

The fourth proportional to 6,833.34, 9,436.23 and 5,151.87 is: 7,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.34 : 9,436.23 = 5,151.87 : x
  2. Step 2: Convert to fraction form
    6,833.34/9,436.23 = 5,151.87/x
  3. Step 3: Cross multiply
    6,833.34x = 9,436.23 × 5,151.87
  4. Step 4: Simplify right side
    6,833.34x = 48,614,230.25
  5. Step 5: Solve for x
    x = 48,614,230.25/6,833.34
  6. Step 6: Final answer
    x = 7,114.27

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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.