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Finding the Fourth Proportional to 9,754.13, 14,594.61 and 5,790.87

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Solution

The fourth proportional to 9,754.13, 14,594.61 and 5,790.87 is: 8,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.13 : 14,594.61 = 5,790.87 : x
  2. Step 2: Convert to fraction form
    9,754.13/14,594.61 = 5,790.87/x
  3. Step 3: Cross multiply
    9,754.13x = 14,594.61 × 5,790.87
  4. Step 4: Simplify right side
    9,754.13x = 84,515,489.21
  5. Step 5: Solve for x
    x = 84,515,489.21/9,754.13
  6. Step 6: Final answer
    x = 8,664.59

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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.