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Finding the Fourth Proportional to 9,313.34, 12,857.17 and 7,184.09

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Solution

The fourth proportional to 9,313.34, 12,857.17 and 7,184.09 is: 9,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.34 : 12,857.17 = 7,184.09 : x
  2. Step 2: Convert to fraction form
    9,313.34/12,857.17 = 7,184.09/x
  3. Step 3: Cross multiply
    9,313.34x = 12,857.17 × 7,184.09
  4. Step 4: Simplify right side
    9,313.34x = 92,367,066.43
  5. Step 5: Solve for x
    x = 92,367,066.43/9,313.34
  6. Step 6: Final answer
    x = 9,917.72

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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.