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Finding the Fourth Proportional to 6,854.26, 9,455.22 and 4,612.30

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Solution

The fourth proportional to 6,854.26, 9,455.22 and 4,612.30 is: 6,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.26 : 9,455.22 = 4,612.30 : x
  2. Step 2: Convert to fraction form
    6,854.26/9,455.22 = 4,612.30/x
  3. Step 3: Cross multiply
    6,854.26x = 9,455.22 × 4,612.30
  4. Step 4: Simplify right side
    6,854.26x = 43,610,311.21
  5. Step 5: Solve for x
    x = 43,610,311.21/6,854.26
  6. Step 6: Final answer
    x = 6,362.51

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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.