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Finding the Fourth Proportional to 9,695.34, 13,379.21 and 5,924.82

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Solution

The fourth proportional to 9,695.34, 13,379.21 and 5,924.82 is: 8,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.34 : 13,379.21 = 5,924.82 : x
  2. Step 2: Convert to fraction form
    9,695.34/13,379.21 = 5,924.82/x
  3. Step 3: Cross multiply
    9,695.34x = 13,379.21 × 5,924.82
  4. Step 4: Simplify right side
    9,695.34x = 79,269,358.91
  5. Step 5: Solve for x
    x = 79,269,358.91/9,695.34
  6. Step 6: Final answer
    x = 8,176.03

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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.