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Finding the Fourth Proportional to 9,200.44, 12,695.08 and 8,733.42

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Solution

The fourth proportional to 9,200.44, 12,695.08 and 8,733.42 is: 12,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.44 : 12,695.08 = 8,733.42 : x
  2. Step 2: Convert to fraction form
    9,200.44/12,695.08 = 8,733.42/x
  3. Step 3: Cross multiply
    9,200.44x = 12,695.08 × 8,733.42
  4. Step 4: Simplify right side
    9,200.44x = 110,871,460.12
  5. Step 5: Solve for x
    x = 110,871,460.12/9,200.44
  6. Step 6: Final answer
    x = 12,050.68

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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.