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Finding the Fourth Proportional to 6,833.35, 9,434.34 and 4,708.20

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Solution

The fourth proportional to 6,833.35, 9,434.34 and 4,708.20 is: 6,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.35 : 9,434.34 = 4,708.20 : x
  2. Step 2: Convert to fraction form
    6,833.35/9,434.34 = 4,708.20/x
  3. Step 3: Cross multiply
    6,833.35x = 9,434.34 × 4,708.20
  4. Step 4: Simplify right side
    6,833.35x = 44,418,778.36
  5. Step 5: Solve for x
    x = 44,418,778.36/6,833.35
  6. Step 6: Final answer
    x = 6,500.29

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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.