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Finding the Fourth Proportional to 9,136.17, 12,607.84 and 5,157.25

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Solution

The fourth proportional to 9,136.17, 12,607.84 and 5,157.25 is: 7,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.17 : 12,607.84 = 5,157.25 : x
  2. Step 2: Convert to fraction form
    9,136.17/12,607.84 = 5,157.25/x
  3. Step 3: Cross multiply
    9,136.17x = 12,607.84 × 5,157.25
  4. Step 4: Simplify right side
    9,136.17x = 65,021,782.84
  5. Step 5: Solve for x
    x = 65,021,782.84/9,136.17
  6. Step 6: Final answer
    x = 7,116.96

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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.