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Finding the Fourth Proportional to 9,168.25, 12,652.46 and 4,976.77

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Solution

The fourth proportional to 9,168.25, 12,652.46 and 4,976.77 is: 6,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.25 : 12,652.46 = 4,976.77 : x
  2. Step 2: Convert to fraction form
    9,168.25/12,652.46 = 4,976.77/x
  3. Step 3: Cross multiply
    9,168.25x = 12,652.46 × 4,976.77
  4. Step 4: Simplify right side
    9,168.25x = 62,968,383.35
  5. Step 5: Solve for x
    x = 62,968,383.35/9,168.25
  6. Step 6: Final answer
    x = 6,868.09

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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.