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Finding the Fourth Proportional to 9,732.49, 14,599.04 and 3,158.73

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Solution

The fourth proportional to 9,732.49, 14,599.04 and 3,158.73 is: 4,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.49 : 14,599.04 = 3,158.73 : x
  2. Step 2: Convert to fraction form
    9,732.49/14,599.04 = 3,158.73/x
  3. Step 3: Cross multiply
    9,732.49x = 14,599.04 × 3,158.73
  4. Step 4: Simplify right side
    9,732.49x = 46,114,409.83
  5. Step 5: Solve for x
    x = 46,114,409.83/9,732.49
  6. Step 6: Final answer
    x = 4,738.19

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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.