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Finding the Fourth Proportional to 9,719.05, 13,418.63 and 7,476.79

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Solution

The fourth proportional to 9,719.05, 13,418.63 and 7,476.79 is: 10,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.05 : 13,418.63 = 7,476.79 : x
  2. Step 2: Convert to fraction form
    9,719.05/13,418.63 = 7,476.79/x
  3. Step 3: Cross multiply
    9,719.05x = 13,418.63 × 7,476.79
  4. Step 4: Simplify right side
    9,719.05x = 100,328,241.21
  5. Step 5: Solve for x
    x = 100,328,241.21/9,719.05
  6. Step 6: Final answer
    x = 10,322.84

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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.