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Finding the Fourth Proportional to 7,109.96, 9,812.75 and 5,127.08

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Solution

The fourth proportional to 7,109.96, 9,812.75 and 5,127.08 is: 7,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.96 : 9,812.75 = 5,127.08 : x
  2. Step 2: Convert to fraction form
    7,109.96/9,812.75 = 5,127.08/x
  3. Step 3: Cross multiply
    7,109.96x = 9,812.75 × 5,127.08
  4. Step 4: Simplify right side
    7,109.96x = 50,310,679.57
  5. Step 5: Solve for x
    x = 50,310,679.57/7,109.96
  6. Step 6: Final answer
    x = 7,076.09

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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.