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Finding the Fourth Proportional to 9,023.95, 12,456.47 and 8,078.03

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Solution

The fourth proportional to 9,023.95, 12,456.47 and 8,078.03 is: 11,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.95 : 12,456.47 = 8,078.03 : x
  2. Step 2: Convert to fraction form
    9,023.95/12,456.47 = 8,078.03/x
  3. Step 3: Cross multiply
    9,023.95x = 12,456.47 × 8,078.03
  4. Step 4: Simplify right side
    9,023.95x = 100,623,738.35
  5. Step 5: Solve for x
    x = 100,623,738.35/9,023.95
  6. Step 6: Final answer
    x = 11,150.74

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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.