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Finding the Fourth Proportional to 9,662.01, 14,494.17 and 3,420.76

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Solution

The fourth proportional to 9,662.01, 14,494.17 and 3,420.76 is: 5,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.01 : 14,494.17 = 3,420.76 : x
  2. Step 2: Convert to fraction form
    9,662.01/14,494.17 = 3,420.76/x
  3. Step 3: Cross multiply
    9,662.01x = 14,494.17 × 3,420.76
  4. Step 4: Simplify right side
    9,662.01x = 49,581,011.11
  5. Step 5: Solve for x
    x = 49,581,011.11/9,662.01
  6. Step 6: Final answer
    x = 5,131.54

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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.