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Finding the Fourth Proportional to 9,639.80, 14,462.01 and 3,314.57

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Solution

The fourth proportional to 9,639.80, 14,462.01 and 3,314.57 is: 4,972.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.80 : 14,462.01 = 3,314.57 : x
  2. Step 2: Convert to fraction form
    9,639.80/14,462.01 = 3,314.57/x
  3. Step 3: Cross multiply
    9,639.80x = 14,462.01 × 3,314.57
  4. Step 4: Simplify right side
    9,639.80x = 47,935,344.49
  5. Step 5: Solve for x
    x = 47,935,344.49/9,639.80
  6. Step 6: Final answer
    x = 4,972.65

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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.