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Finding the Fourth Proportional to 9,027.66, 12,446.75 and 5,835.59

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Solution

The fourth proportional to 9,027.66, 12,446.75 and 5,835.59 is: 8,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.66 : 12,446.75 = 5,835.59 : x
  2. Step 2: Convert to fraction form
    9,027.66/12,446.75 = 5,835.59/x
  3. Step 3: Cross multiply
    9,027.66x = 12,446.75 × 5,835.59
  4. Step 4: Simplify right side
    9,027.66x = 72,634,129.83
  5. Step 5: Solve for x
    x = 72,634,129.83/9,027.66
  6. Step 6: Final answer
    x = 8,045.73

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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.