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Finding the Fourth Proportional to 9,284.63, 12,812.99 and 5,092.88

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Solution

The fourth proportional to 9,284.63, 12,812.99 and 5,092.88 is: 7,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.63 : 12,812.99 = 5,092.88 : x
  2. Step 2: Convert to fraction form
    9,284.63/12,812.99 = 5,092.88/x
  3. Step 3: Cross multiply
    9,284.63x = 12,812.99 × 5,092.88
  4. Step 4: Simplify right side
    9,284.63x = 65,254,930.98
  5. Step 5: Solve for x
    x = 65,254,930.98/9,284.63
  6. Step 6: Final answer
    x = 7,028.28

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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.