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Finding the Fourth Proportional to 9,123.50, 13,684.53 and 5,613.98

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Solution

The fourth proportional to 9,123.50, 13,684.53 and 5,613.98 is: 8,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.50 : 13,684.53 = 5,613.98 : x
  2. Step 2: Convert to fraction form
    9,123.50/13,684.53 = 5,613.98/x
  3. Step 3: Cross multiply
    9,123.50x = 13,684.53 × 5,613.98
  4. Step 4: Simplify right side
    9,123.50x = 76,824,609.31
  5. Step 5: Solve for x
    x = 76,824,609.31/9,123.50
  6. Step 6: Final answer
    x = 8,420.52

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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.