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Finding the Fourth Proportional to 9,284.64, 12,812.82 and 5,092.92

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Solution

The fourth proportional to 9,284.64, 12,812.82 and 5,092.92 is: 7,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.64 : 12,812.82 = 5,092.92 : x
  2. Step 2: Convert to fraction form
    9,284.64/12,812.82 = 5,092.92/x
  3. Step 3: Cross multiply
    9,284.64x = 12,812.82 × 5,092.92
  4. Step 4: Simplify right side
    9,284.64x = 65,254,667.23
  5. Step 5: Solve for x
    x = 65,254,667.23/9,284.64
  6. Step 6: Final answer
    x = 7,028.24

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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.