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Finding the Fourth Proportional to 9,661.44, 14,491.62 and 3,421.20

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Solution

The fourth proportional to 9,661.44, 14,491.62 and 3,421.20 is: 5,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.44 : 14,491.62 = 3,421.20 : x
  2. Step 2: Convert to fraction form
    9,661.44/14,491.62 = 3,421.20/x
  3. Step 3: Cross multiply
    9,661.44x = 14,491.62 × 3,421.20
  4. Step 4: Simplify right side
    9,661.44x = 49,578,730.34
  5. Step 5: Solve for x
    x = 49,578,730.34/9,661.44
  6. Step 6: Final answer
    x = 5,131.61

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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.