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Finding the Fourth Proportional to 12,372.06, 17,074.53 and 6,784.14

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Solution

The fourth proportional to 12,372.06, 17,074.53 and 6,784.14 is: 9,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.06 : 17,074.53 = 6,784.14 : x
  2. Step 2: Convert to fraction form
    12,372.06/17,074.53 = 6,784.14/x
  3. Step 3: Cross multiply
    12,372.06x = 17,074.53 × 6,784.14
  4. Step 4: Simplify right side
    12,372.06x = 115,836,001.95
  5. Step 5: Solve for x
    x = 115,836,001.95/12,372.06
  6. Step 6: Final answer
    x = 9,362.71

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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.