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Finding the Fourth Proportional to 9,165.57, 12,649.51 and 5,186.94

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Solution

The fourth proportional to 9,165.57, 12,649.51 and 5,186.94 is: 7,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.57 : 12,649.51 = 5,186.94 : x
  2. Step 2: Convert to fraction form
    9,165.57/12,649.51 = 5,186.94/x
  3. Step 3: Cross multiply
    9,165.57x = 12,649.51 × 5,186.94
  4. Step 4: Simplify right side
    9,165.57x = 65,612,186.15
  5. Step 5: Solve for x
    x = 65,612,186.15/9,165.57
  6. Step 6: Final answer
    x = 7,158.55

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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.