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Finding the Fourth Proportional to 9,114.09, 12,577.08 and 5,136

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Solution

The fourth proportional to 9,114.09, 12,577.08 and 5,136 is: 7,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.09 : 12,577.08 = 5,136 : x
  2. Step 2: Convert to fraction form
    9,114.09/12,577.08 = 5,136/x
  3. Step 3: Cross multiply
    9,114.09x = 12,577.08 × 5,136
  4. Step 4: Simplify right side
    9,114.09x = 64,595,882.88
  5. Step 5: Solve for x
    x = 64,595,882.88/9,114.09
  6. Step 6: Final answer
    x = 7,087.47

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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.