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Finding the Fourth Proportional to 9,178.44, 12,652.96 and 6,784.92

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Solution

The fourth proportional to 9,178.44, 12,652.96 and 6,784.92 is: 9,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.44 : 12,652.96 = 6,784.92 : x
  2. Step 2: Convert to fraction form
    9,178.44/12,652.96 = 6,784.92/x
  3. Step 3: Cross multiply
    9,178.44x = 12,652.96 × 6,784.92
  4. Step 4: Simplify right side
    9,178.44x = 85,849,321.36
  5. Step 5: Solve for x
    x = 85,849,321.36/9,178.44
  6. Step 6: Final answer
    x = 9,353.37

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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.