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Finding the Fourth Proportional to 9,166.10, 12,649.24 and 5,187.14

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Solution

The fourth proportional to 9,166.10, 12,649.24 and 5,187.14 is: 7,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.10 : 12,649.24 = 5,187.14 : x
  2. Step 2: Convert to fraction form
    9,166.10/12,649.24 = 5,187.14/x
  3. Step 3: Cross multiply
    9,166.10x = 12,649.24 × 5,187.14
  4. Step 4: Simplify right side
    9,166.10x = 65,613,378.77
  5. Step 5: Solve for x
    x = 65,613,378.77/9,166.10
  6. Step 6: Final answer
    x = 7,158.27

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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.