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Finding the Fourth Proportional to 9,754.73, 14,632.04 and 2,359.23

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Solution

The fourth proportional to 9,754.73, 14,632.04 and 2,359.23 is: 3,538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.73 : 14,632.04 = 2,359.23 : x
  2. Step 2: Convert to fraction form
    9,754.73/14,632.04 = 2,359.23/x
  3. Step 3: Cross multiply
    9,754.73x = 14,632.04 × 2,359.23
  4. Step 4: Simplify right side
    9,754.73x = 34,520,298.76
  5. Step 5: Solve for x
    x = 34,520,298.76/9,754.73
  6. Step 6: Final answer
    x = 3,538.83

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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.