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Finding the Fourth Proportional to 9,969.69, 14,935.38 and 5,573.82

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Solution

The fourth proportional to 9,969.69, 14,935.38 and 5,573.82 is: 8,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.69 : 14,935.38 = 5,573.82 : x
  2. Step 2: Convert to fraction form
    9,969.69/14,935.38 = 5,573.82/x
  3. Step 3: Cross multiply
    9,969.69x = 14,935.38 × 5,573.82
  4. Step 4: Simplify right side
    9,969.69x = 83,247,119.75
  5. Step 5: Solve for x
    x = 83,247,119.75/9,969.69
  6. Step 6: Final answer
    x = 8,350.02

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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.