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Finding the Fourth Proportional to 9,693.40, 13,375.28 and 5,713.96

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Solution

The fourth proportional to 9,693.40, 13,375.28 and 5,713.96 is: 7,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.40 : 13,375.28 = 5,713.96 : x
  2. Step 2: Convert to fraction form
    9,693.40/13,375.28 = 5,713.96/x
  3. Step 3: Cross multiply
    9,693.40x = 13,375.28 × 5,713.96
  4. Step 4: Simplify right side
    9,693.40x = 76,425,814.91
  5. Step 5: Solve for x
    x = 76,425,814.91/9,693.40
  6. Step 6: Final answer
    x = 7,884.31

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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.