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Finding the Fourth Proportional to 9,023.97, 12,451.60 and 8,298.16

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Solution

The fourth proportional to 9,023.97, 12,451.60 and 8,298.16 is: 11,450.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.97 : 12,451.60 = 8,298.16 : x
  2. Step 2: Convert to fraction form
    9,023.97/12,451.60 = 8,298.16/x
  3. Step 3: Cross multiply
    9,023.97x = 12,451.60 × 8,298.16
  4. Step 4: Simplify right side
    9,023.97x = 103,325,369.06
  5. Step 5: Solve for x
    x = 103,325,369.06/9,023.97
  6. Step 6: Final answer
    x = 11,450.10

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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.