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Finding the Fourth Proportional to 9,732.14, 14,599.02 and 4,185.62

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Solution

The fourth proportional to 9,732.14, 14,599.02 and 4,185.62 is: 6,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.14 : 14,599.02 = 4,185.62 : x
  2. Step 2: Convert to fraction form
    9,732.14/14,599.02 = 4,185.62/x
  3. Step 3: Cross multiply
    9,732.14x = 14,599.02 × 4,185.62
  4. Step 4: Simplify right side
    9,732.14x = 61,105,950.09
  5. Step 5: Solve for x
    x = 61,105,950.09/9,732.14
  6. Step 6: Final answer
    x = 6,278.78

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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.