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Finding the Fourth Proportional to 12,403.93, 17,117.31 and 6,738.56

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Solution

The fourth proportional to 12,403.93, 17,117.31 and 6,738.56 is: 9,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.93 : 17,117.31 = 6,738.56 : x
  2. Step 2: Convert to fraction form
    12,403.93/17,117.31 = 6,738.56/x
  3. Step 3: Cross multiply
    12,403.93x = 17,117.31 × 6,738.56
  4. Step 4: Simplify right side
    12,403.93x = 115,345,901.19
  5. Step 5: Solve for x
    x = 115,345,901.19/12,403.93
  6. Step 6: Final answer
    x = 9,299.14

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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.