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Finding the Fourth Proportional to 9,136.12, 12,595.62 and 7,138.84

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Solution

The fourth proportional to 9,136.12, 12,595.62 and 7,138.84 is: 9,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.12 : 12,595.62 = 7,138.84 : x
  2. Step 2: Convert to fraction form
    9,136.12/12,595.62 = 7,138.84/x
  3. Step 3: Cross multiply
    9,136.12x = 12,595.62 × 7,138.84
  4. Step 4: Simplify right side
    9,136.12x = 89,918,115.88
  5. Step 5: Solve for x
    x = 89,918,115.88/9,136.12
  6. Step 6: Final answer
    x = 9,842.05

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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.