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Finding the Fourth Proportional to 9,797.63, 14,682.03 and 5,790.89

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Solution

The fourth proportional to 9,797.63, 14,682.03 and 5,790.89 is: 8,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.63 : 14,682.03 = 5,790.89 : x
  2. Step 2: Convert to fraction form
    9,797.63/14,682.03 = 5,790.89/x
  3. Step 3: Cross multiply
    9,797.63x = 14,682.03 × 5,790.89
  4. Step 4: Simplify right side
    9,797.63x = 85,022,020.71
  5. Step 5: Solve for x
    x = 85,022,020.71/9,797.63
  6. Step 6: Final answer
    x = 8,677.82

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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.