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Finding the Fourth Proportional to 9,657.12, 14,458.35 and 6,138.41

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Solution

The fourth proportional to 9,657.12, 14,458.35 and 6,138.41 is: 9,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.12 : 14,458.35 = 6,138.41 : x
  2. Step 2: Convert to fraction form
    9,657.12/14,458.35 = 6,138.41/x
  3. Step 3: Cross multiply
    9,657.12x = 14,458.35 × 6,138.41
  4. Step 4: Simplify right side
    9,657.12x = 88,751,280.22
  5. Step 5: Solve for x
    x = 88,751,280.22/9,657.12
  6. Step 6: Final answer
    x = 9,190.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.