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Finding the Fourth Proportional to 8,446.09, 11,657.19 and 4,909.51

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Solution

The fourth proportional to 8,446.09, 11,657.19 and 4,909.51 is: 6,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.09 : 11,657.19 = 4,909.51 : x
  2. Step 2: Convert to fraction form
    8,446.09/11,657.19 = 4,909.51/x
  3. Step 3: Cross multiply
    8,446.09x = 11,657.19 × 4,909.51
  4. Step 4: Simplify right side
    8,446.09x = 57,231,090.88
  5. Step 5: Solve for x
    x = 57,231,090.88/8,446.09
  6. Step 6: Final answer
    x = 6,776.05

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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.