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Finding the Fourth Proportional to 9,284.64, 12,812.96 and 5,093.28

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Solution

The fourth proportional to 9,284.64, 12,812.96 and 5,093.28 is: 7,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.64 : 12,812.96 = 5,093.28 : x
  2. Step 2: Convert to fraction form
    9,284.64/12,812.96 = 5,093.28/x
  3. Step 3: Cross multiply
    9,284.64x = 12,812.96 × 5,093.28
  4. Step 4: Simplify right side
    9,284.64x = 65,259,992.91
  5. Step 5: Solve for x
    x = 65,259,992.91/9,284.64
  6. Step 6: Final answer
    x = 7,028.81

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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.