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Finding the Fourth Proportional to 9,613.71, 14,412.33 and 3,768.98

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Solution

The fourth proportional to 9,613.71, 14,412.33 and 3,768.98 is: 5,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.71 : 14,412.33 = 3,768.98 : x
  2. Step 2: Convert to fraction form
    9,613.71/14,412.33 = 3,768.98/x
  3. Step 3: Cross multiply
    9,613.71x = 14,412.33 × 3,768.98
  4. Step 4: Simplify right side
    9,613.71x = 54,319,711.46
  5. Step 5: Solve for x
    x = 54,319,711.46/9,613.71
  6. Step 6: Final answer
    x = 5,650.23

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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.