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Finding the Fourth Proportional to 9,923.51, 13,693.05 and 5,942.57

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Solution

The fourth proportional to 9,923.51, 13,693.05 and 5,942.57 is: 8,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.51 : 13,693.05 = 5,942.57 : x
  2. Step 2: Convert to fraction form
    9,923.51/13,693.05 = 5,942.57/x
  3. Step 3: Cross multiply
    9,923.51x = 13,693.05 × 5,942.57
  4. Step 4: Simplify right side
    9,923.51x = 81,371,839.67
  5. Step 5: Solve for x
    x = 81,371,839.67/9,923.51
  6. Step 6: Final answer
    x = 8,199.90

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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.