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Finding the Fourth Proportional to 9,458.76, 14,186.31 and 3,613.98

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Solution

The fourth proportional to 9,458.76, 14,186.31 and 3,613.98 is: 5,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.76 : 14,186.31 = 3,613.98 : x
  2. Step 2: Convert to fraction form
    9,458.76/14,186.31 = 3,613.98/x
  3. Step 3: Cross multiply
    9,458.76x = 14,186.31 × 3,613.98
  4. Step 4: Simplify right side
    9,458.76x = 51,269,040.61
  5. Step 5: Solve for x
    x = 51,269,040.61/9,458.76
  6. Step 6: Final answer
    x = 5,420.27

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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.