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Finding the Fourth Proportional to 9,713.43, 13,404.19 and 5,464.57

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Solution

The fourth proportional to 9,713.43, 13,404.19 and 5,464.57 is: 7,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.43 : 13,404.19 = 5,464.57 : x
  2. Step 2: Convert to fraction form
    9,713.43/13,404.19 = 5,464.57/x
  3. Step 3: Cross multiply
    9,713.43x = 13,404.19 × 5,464.57
  4. Step 4: Simplify right side
    9,713.43x = 73,248,134.55
  5. Step 5: Solve for x
    x = 73,248,134.55/9,713.43
  6. Step 6: Final answer
    x = 7,540.91

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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.