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Finding the Fourth Proportional to 9,940.56, 13,719.96 and 7,578.48

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Solution

The fourth proportional to 9,940.56, 13,719.96 and 7,578.48 is: 10,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.56 : 13,719.96 = 7,578.48 : x
  2. Step 2: Convert to fraction form
    9,940.56/13,719.96 = 7,578.48/x
  3. Step 3: Cross multiply
    9,940.56x = 13,719.96 × 7,578.48
  4. Step 4: Simplify right side
    9,940.56x = 103,976,442.46
  5. Step 5: Solve for x
    x = 103,976,442.46/9,940.56
  6. Step 6: Final answer
    x = 10,459.82

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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.