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Finding the Fourth Proportional to 9,423.33, 13,005.80 and 5,446.74

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Solution

The fourth proportional to 9,423.33, 13,005.80 and 5,446.74 is: 7,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.33 : 13,005.80 = 5,446.74 : x
  2. Step 2: Convert to fraction form
    9,423.33/13,005.80 = 5,446.74/x
  3. Step 3: Cross multiply
    9,423.33x = 13,005.80 × 5,446.74
  4. Step 4: Simplify right side
    9,423.33x = 70,839,183.86
  5. Step 5: Solve for x
    x = 70,839,183.86/9,423.33
  6. Step 6: Final answer
    x = 7,517.43

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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.