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Finding the Fourth Proportional to 9,136.44, 12,607.21 and 5,157.32

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Solution

The fourth proportional to 9,136.44, 12,607.21 and 5,157.32 is: 7,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.44 : 12,607.21 = 5,157.32 : x
  2. Step 2: Convert to fraction form
    9,136.44/12,607.21 = 5,157.32/x
  3. Step 3: Cross multiply
    9,136.44x = 12,607.21 × 5,157.32
  4. Step 4: Simplify right side
    9,136.44x = 65,019,327.45
  5. Step 5: Solve for x
    x = 65,019,327.45/9,136.44
  6. Step 6: Final answer
    x = 7,116.48

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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.