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Finding the Fourth Proportional to 6,854.25, 9,455.22 and 4,612.31

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Solution

The fourth proportional to 6,854.25, 9,455.22 and 4,612.31 is: 6,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.25 : 9,455.22 = 4,612.31 : x
  2. Step 2: Convert to fraction form
    6,854.25/9,455.22 = 4,612.31/x
  3. Step 3: Cross multiply
    6,854.25x = 9,455.22 × 4,612.31
  4. Step 4: Simplify right side
    6,854.25x = 43,610,405.76
  5. Step 5: Solve for x
    x = 43,610,405.76/6,854.25
  6. Step 6: Final answer
    x = 6,362.54

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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.