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Finding the Fourth Proportional to 9,033.60, 12,462.15 and 5,847.92

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Solution

The fourth proportional to 9,033.60, 12,462.15 and 5,847.92 is: 8,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.60 : 12,462.15 = 5,847.92 : x
  2. Step 2: Convert to fraction form
    9,033.60/12,462.15 = 5,847.92/x
  3. Step 3: Cross multiply
    9,033.60x = 12,462.15 × 5,847.92
  4. Step 4: Simplify right side
    9,033.60x = 72,877,656.23
  5. Step 5: Solve for x
    x = 72,877,656.23/9,033.60
  6. Step 6: Final answer
    x = 8,067.40

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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.