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Finding the Fourth Proportional to 9,214.92, 12,716.64 and 5,023.08

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Solution

The fourth proportional to 9,214.92, 12,716.64 and 5,023.08 is: 6,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.92 : 12,716.64 = 5,023.08 : x
  2. Step 2: Convert to fraction form
    9,214.92/12,716.64 = 5,023.08/x
  3. Step 3: Cross multiply
    9,214.92x = 12,716.64 × 5,023.08
  4. Step 4: Simplify right side
    9,214.92x = 63,876,700.05
  5. Step 5: Solve for x
    x = 63,876,700.05/9,214.92
  6. Step 6: Final answer
    x = 6,931.88

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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.