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Finding the Fourth Proportional to 9,284.68, 12,812.52 and 5,092.84

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Solution

The fourth proportional to 9,284.68, 12,812.52 and 5,092.84 is: 7,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.68 : 12,812.52 = 5,092.84 : x
  2. Step 2: Convert to fraction form
    9,284.68/12,812.52 = 5,092.84/x
  3. Step 3: Cross multiply
    9,284.68x = 12,812.52 × 5,092.84
  4. Step 4: Simplify right side
    9,284.68x = 65,252,114.36
  5. Step 5: Solve for x
    x = 65,252,114.36/9,284.68
  6. Step 6: Final answer
    x = 7,027.93

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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.