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Finding the Fourth Proportional to 9,136.72, 12,608.04 and 5,410

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Solution

The fourth proportional to 9,136.72, 12,608.04 and 5,410 is: 7,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.72 : 12,608.04 = 5,410 : x
  2. Step 2: Convert to fraction form
    9,136.72/12,608.04 = 5,410/x
  3. Step 3: Cross multiply
    9,136.72x = 12,608.04 × 5,410
  4. Step 4: Simplify right side
    9,136.72x = 68,209,496.40
  5. Step 5: Solve for x
    x = 68,209,496.40/9,136.72
  6. Step 6: Final answer
    x = 7,465.42

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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.