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Finding the Fourth Proportional to 9,965.06, 14,869.85 and 9,080.86

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Solution

The fourth proportional to 9,965.06, 14,869.85 and 9,080.86 is: 13,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.06 : 14,869.85 = 9,080.86 : x
  2. Step 2: Convert to fraction form
    9,965.06/14,869.85 = 9,080.86/x
  3. Step 3: Cross multiply
    9,965.06x = 14,869.85 × 9,080.86
  4. Step 4: Simplify right side
    9,965.06x = 135,030,971.37
  5. Step 5: Solve for x
    x = 135,030,971.37/9,965.06
  6. Step 6: Final answer
    x = 13,550.44

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