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Finding the Fourth Proportional to 9,114.98, 12,578.41 and 5,136.08

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Solution

The fourth proportional to 9,114.98, 12,578.41 and 5,136.08 is: 7,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.98 : 12,578.41 = 5,136.08 : x
  2. Step 2: Convert to fraction form
    9,114.98/12,578.41 = 5,136.08/x
  3. Step 3: Cross multiply
    9,114.98x = 12,578.41 × 5,136.08
  4. Step 4: Simplify right side
    9,114.98x = 64,603,720.03
  5. Step 5: Solve for x
    x = 64,603,720.03/9,114.98
  6. Step 6: Final answer
    x = 7,087.64

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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.