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Finding the Fourth Proportional to 9,994.29, 13,792.23 and 5,747.46

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Solution

The fourth proportional to 9,994.29, 13,792.23 and 5,747.46 is: 7,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.29 : 13,792.23 = 5,747.46 : x
  2. Step 2: Convert to fraction form
    9,994.29/13,792.23 = 5,747.46/x
  3. Step 3: Cross multiply
    9,994.29x = 13,792.23 × 5,747.46
  4. Step 4: Simplify right side
    9,994.29x = 79,270,290.24
  5. Step 5: Solve for x
    x = 79,270,290.24/9,994.29
  6. Step 6: Final answer
    x = 7,931.56

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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.