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Finding the Fourth Proportional to 9,662.70, 14,490.27 and 3,420.30

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Solution

The fourth proportional to 9,662.70, 14,490.27 and 3,420.30 is: 5,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.70 : 14,490.27 = 3,420.30 : x
  2. Step 2: Convert to fraction form
    9,662.70/14,490.27 = 3,420.30/x
  3. Step 3: Cross multiply
    9,662.70x = 14,490.27 × 3,420.30
  4. Step 4: Simplify right side
    9,662.70x = 49,561,070.48
  5. Step 5: Solve for x
    x = 49,561,070.48/9,662.70
  6. Step 6: Final answer
    x = 5,129.11

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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.