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Finding the Fourth Proportional to 9,136.97, 12,603.07 and 6,452.09

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Solution

The fourth proportional to 9,136.97, 12,603.07 and 6,452.09 is: 8,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.97 : 12,603.07 = 6,452.09 : x
  2. Step 2: Convert to fraction form
    9,136.97/12,603.07 = 6,452.09/x
  3. Step 3: Cross multiply
    9,136.97x = 12,603.07 × 6,452.09
  4. Step 4: Simplify right side
    9,136.97x = 81,316,062.77
  5. Step 5: Solve for x
    x = 81,316,062.77/9,136.97
  6. Step 6: Final answer
    x = 8,899.68

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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.