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Finding the Fourth Proportional to 9,706.37, 13,394.70 and 5,514.62

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Solution

The fourth proportional to 9,706.37, 13,394.70 and 5,514.62 is: 7,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.37 : 13,394.70 = 5,514.62 : x
  2. Step 2: Convert to fraction form
    9,706.37/13,394.70 = 5,514.62/x
  3. Step 3: Cross multiply
    9,706.37x = 13,394.70 × 5,514.62
  4. Step 4: Simplify right side
    9,706.37x = 73,866,613.54
  5. Step 5: Solve for x
    x = 73,866,613.54/9,706.37
  6. Step 6: Final answer
    x = 7,610.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.