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Finding the Fourth Proportional to 9,171.81, 13,762.49 and 5,011.07

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Solution

The fourth proportional to 9,171.81, 13,762.49 and 5,011.07 is: 7,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.81 : 13,762.49 = 5,011.07 : x
  2. Step 2: Convert to fraction form
    9,171.81/13,762.49 = 5,011.07/x
  3. Step 3: Cross multiply
    9,171.81x = 13,762.49 × 5,011.07
  4. Step 4: Simplify right side
    9,171.81x = 68,964,706.90
  5. Step 5: Solve for x
    x = 68,964,706.90/9,171.81
  6. Step 6: Final answer
    x = 7,519.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.