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Finding the Fourth Proportional to 9,186.84, 12,677.58 and 5,649.48

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Solution

The fourth proportional to 9,186.84, 12,677.58 and 5,649.48 is: 7,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.84 : 12,677.58 = 5,649.48 : x
  2. Step 2: Convert to fraction form
    9,186.84/12,677.58 = 5,649.48/x
  3. Step 3: Cross multiply
    9,186.84x = 12,677.58 × 5,649.48
  4. Step 4: Simplify right side
    9,186.84x = 71,621,734.66
  5. Step 5: Solve for x
    x = 71,621,734.66/9,186.84
  6. Step 6: Final answer
    x = 7,796.12

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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.