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Finding the Fourth Proportional to 9,168.36, 12,657 and 5,814.60

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Solution

The fourth proportional to 9,168.36, 12,657 and 5,814.60 is: 8,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.36 : 12,657 = 5,814.60 : x
  2. Step 2: Convert to fraction form
    9,168.36/12,657 = 5,814.60/x
  3. Step 3: Cross multiply
    9,168.36x = 12,657 × 5,814.60
  4. Step 4: Simplify right side
    9,168.36x = 73,595,392.20
  5. Step 5: Solve for x
    x = 73,595,392.20/9,168.36
  6. Step 6: Final answer
    x = 8,027.11

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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.