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Finding the Fourth Proportional to 9,885.11, 14,839.07 and 7,812.05

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Solution

The fourth proportional to 9,885.11, 14,839.07 and 7,812.05 is: 11,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.11 : 14,839.07 = 7,812.05 : x
  2. Step 2: Convert to fraction form
    9,885.11/14,839.07 = 7,812.05/x
  3. Step 3: Cross multiply
    9,885.11x = 14,839.07 × 7,812.05
  4. Step 4: Simplify right side
    9,885.11x = 115,923,443.54
  5. Step 5: Solve for x
    x = 115,923,443.54/9,885.11
  6. Step 6: Final answer
    x = 11,727.08

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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.