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Finding the Fourth Proportional to 9,809.60, 14,652.03 and 8,426.93

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Solution

The fourth proportional to 9,809.60, 14,652.03 and 8,426.93 is: 12,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.60 : 14,652.03 = 8,426.93 : x
  2. Step 2: Convert to fraction form
    9,809.60/14,652.03 = 8,426.93/x
  3. Step 3: Cross multiply
    9,809.60x = 14,652.03 × 8,426.93
  4. Step 4: Simplify right side
    9,809.60x = 123,471,589.03
  5. Step 5: Solve for x
    x = 123,471,589.03/9,809.60
  6. Step 6: Final answer
    x = 12,586.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.