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Finding the Fourth Proportional to 9,923.64, 13,694.48 and 5,674.64

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Solution

The fourth proportional to 9,923.64, 13,694.48 and 5,674.64 is: 7,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.64 : 13,694.48 = 5,674.64 : x
  2. Step 2: Convert to fraction form
    9,923.64/13,694.48 = 5,674.64/x
  3. Step 3: Cross multiply
    9,923.64x = 13,694.48 × 5,674.64
  4. Step 4: Simplify right side
    9,923.64x = 77,711,243.99
  5. Step 5: Solve for x
    x = 77,711,243.99/9,923.64
  6. Step 6: Final answer
    x = 7,830.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.