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Finding the Fourth Proportional to 9,737.70, 14,613.02 and 3,581.70

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Solution

The fourth proportional to 9,737.70, 14,613.02 and 3,581.70 is: 5,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.70 : 14,613.02 = 3,581.70 : x
  2. Step 2: Convert to fraction form
    9,737.70/14,613.02 = 3,581.70/x
  3. Step 3: Cross multiply
    9,737.70x = 14,613.02 × 3,581.70
  4. Step 4: Simplify right side
    9,737.70x = 52,339,453.73
  5. Step 5: Solve for x
    x = 52,339,453.73/9,737.70
  6. Step 6: Final answer
    x = 5,374.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.