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Finding the Fourth Proportional to 9,383.66, 12,949.53 and 5,192.18

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Solution

The fourth proportional to 9,383.66, 12,949.53 and 5,192.18 is: 7,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.66 : 12,949.53 = 5,192.18 : x
  2. Step 2: Convert to fraction form
    9,383.66/12,949.53 = 5,192.18/x
  3. Step 3: Cross multiply
    9,383.66x = 12,949.53 × 5,192.18
  4. Step 4: Simplify right side
    9,383.66x = 67,236,290.68
  5. Step 5: Solve for x
    x = 67,236,290.68/9,383.66
  6. Step 6: Final answer
    x = 7,165.25

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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.