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Finding the Fourth Proportional to 9,923.13, 13,694.04 and 5,674.12

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Solution

The fourth proportional to 9,923.13, 13,694.04 and 5,674.12 is: 7,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.13 : 13,694.04 = 5,674.12 : x
  2. Step 2: Convert to fraction form
    9,923.13/13,694.04 = 5,674.12/x
  3. Step 3: Cross multiply
    9,923.13x = 13,694.04 × 5,674.12
  4. Step 4: Simplify right side
    9,923.13x = 77,701,592.01
  5. Step 5: Solve for x
    x = 77,701,592.01/9,923.13
  6. Step 6: Final answer
    x = 7,830.35

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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.