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Finding the Fourth Proportional to 9,661.14, 14,491.79 and 3,421.18

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Solution

The fourth proportional to 9,661.14, 14,491.79 and 3,421.18 is: 5,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.14 : 14,491.79 = 3,421.18 : x
  2. Step 2: Convert to fraction form
    9,661.14/14,491.79 = 3,421.18/x
  3. Step 3: Cross multiply
    9,661.14x = 14,491.79 × 3,421.18
  4. Step 4: Simplify right side
    9,661.14x = 49,578,968.78
  5. Step 5: Solve for x
    x = 49,578,968.78/9,661.14
  6. Step 6: Final answer
    x = 5,131.79

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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.