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Finding the Fourth Proportional to 9,861.06, 14,716.11 and 8,809.25

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Solution

The fourth proportional to 9,861.06, 14,716.11 and 8,809.25 is: 13,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.06 : 14,716.11 = 8,809.25 : x
  2. Step 2: Convert to fraction form
    9,861.06/14,716.11 = 8,809.25/x
  3. Step 3: Cross multiply
    9,861.06x = 14,716.11 × 8,809.25
  4. Step 4: Simplify right side
    9,861.06x = 129,637,892.02
  5. Step 5: Solve for x
    x = 129,637,892.02/9,861.06
  6. Step 6: Final answer
    x = 13,146.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.