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Finding the Fourth Proportional to 9,136.81, 12,607.89 and 5,157.16

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Solution

The fourth proportional to 9,136.81, 12,607.89 and 5,157.16 is: 7,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.81 : 12,607.89 = 5,157.16 : x
  2. Step 2: Convert to fraction form
    9,136.81/12,607.89 = 5,157.16/x
  3. Step 3: Cross multiply
    9,136.81x = 12,607.89 × 5,157.16
  4. Step 4: Simplify right side
    9,136.81x = 65,020,817.17
  5. Step 5: Solve for x
    x = 65,020,817.17/9,136.81
  6. Step 6: Final answer
    x = 7,116.36

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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.