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Finding the Fourth Proportional to 9,186.52, 12,658.63 and 8,690.29

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Solution

The fourth proportional to 9,186.52, 12,658.63 and 8,690.29 is: 11,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.52 : 12,658.63 = 8,690.29 : x
  2. Step 2: Convert to fraction form
    9,186.52/12,658.63 = 8,690.29/x
  3. Step 3: Cross multiply
    9,186.52x = 12,658.63 × 8,690.29
  4. Step 4: Simplify right side
    9,186.52x = 110,007,080.68
  5. Step 5: Solve for x
    x = 110,007,080.68/9,186.52
  6. Step 6: Final answer
    x = 11,974.84

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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.