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Finding the Fourth Proportional to 9,983.69, 14,969.91 and 3,316.62

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Solution

The fourth proportional to 9,983.69, 14,969.91 and 3,316.62 is: 4,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.69 : 14,969.91 = 3,316.62 : x
  2. Step 2: Convert to fraction form
    9,983.69/14,969.91 = 3,316.62/x
  3. Step 3: Cross multiply
    9,983.69x = 14,969.91 × 3,316.62
  4. Step 4: Simplify right side
    9,983.69x = 49,649,466.22
  5. Step 5: Solve for x
    x = 49,649,466.22/9,983.69
  6. Step 6: Final answer
    x = 4,973.06

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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.