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Finding the Fourth Proportional to 12,236.16, 16,883.12 and 6,929.76

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Solution

The fourth proportional to 12,236.16, 16,883.12 and 6,929.76 is: 9,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,236.16 : 16,883.12 = 6,929.76 : x
  2. Step 2: Convert to fraction form
    12,236.16/16,883.12 = 6,929.76/x
  3. Step 3: Cross multiply
    12,236.16x = 16,883.12 × 6,929.76
  4. Step 4: Simplify right side
    12,236.16x = 116,995,969.65
  5. Step 5: Solve for x
    x = 116,995,969.65/12,236.16
  6. Step 6: Final answer
    x = 9,561.49

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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.