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Finding the Fourth Proportional to 9,743.76, 13,446.30 and 5,494.64

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Solution

The fourth proportional to 9,743.76, 13,446.30 and 5,494.64 is: 7,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.76 : 13,446.30 = 5,494.64 : x
  2. Step 2: Convert to fraction form
    9,743.76/13,446.30 = 5,494.64/x
  3. Step 3: Cross multiply
    9,743.76x = 13,446.30 × 5,494.64
  4. Step 4: Simplify right side
    9,743.76x = 73,882,531.21
  5. Step 5: Solve for x
    x = 73,882,531.21/9,743.76
  6. Step 6: Final answer
    x = 7,582.55

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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.