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Finding the Fourth Proportional to 8,784.77, 13,178.92 and 3,238.14

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Solution

The fourth proportional to 8,784.77, 13,178.92 and 3,238.14 is: 4,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.77 : 13,178.92 = 3,238.14 : x
  2. Step 2: Convert to fraction form
    8,784.77/13,178.92 = 3,238.14/x
  3. Step 3: Cross multiply
    8,784.77x = 13,178.92 × 3,238.14
  4. Step 4: Simplify right side
    8,784.77x = 42,675,235.41
  5. Step 5: Solve for x
    x = 42,675,235.41/8,784.77
  6. Step 6: Final answer
    x = 4,857.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.