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Finding the Fourth Proportional to 9,695.54, 13,375.86 and 6,157.46

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Solution

The fourth proportional to 9,695.54, 13,375.86 and 6,157.46 is: 8,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.54 : 13,375.86 = 6,157.46 : x
  2. Step 2: Convert to fraction form
    9,695.54/13,375.86 = 6,157.46/x
  3. Step 3: Cross multiply
    9,695.54x = 13,375.86 × 6,157.46
  4. Step 4: Simplify right side
    9,695.54x = 82,361,322.92
  5. Step 5: Solve for x
    x = 82,361,322.92/9,695.54
  6. Step 6: Final answer
    x = 8,494.76

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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.