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Finding the Fourth Proportional to 9,561.40, 14,341.78 and 3,719.12

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Solution

The fourth proportional to 9,561.40, 14,341.78 and 3,719.12 is: 5,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.40 : 14,341.78 = 3,719.12 : x
  2. Step 2: Convert to fraction form
    9,561.40/14,341.78 = 3,719.12/x
  3. Step 3: Cross multiply
    9,561.40x = 14,341.78 × 3,719.12
  4. Step 4: Simplify right side
    9,561.40x = 53,338,800.83
  5. Step 5: Solve for x
    x = 53,338,800.83/9,561.40
  6. Step 6: Final answer
    x = 5,578.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.