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Finding the Fourth Proportional to 9,605.10, 14,419.80 and 5,166.30

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Solution

The fourth proportional to 9,605.10, 14,419.80 and 5,166.30 is: 7,755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.10 : 14,419.80 = 5,166.30 : x
  2. Step 2: Convert to fraction form
    9,605.10/14,419.80 = 5,166.30/x
  3. Step 3: Cross multiply
    9,605.10x = 14,419.80 × 5,166.30
  4. Step 4: Simplify right side
    9,605.10x = 74,497,012.74
  5. Step 5: Solve for x
    x = 74,497,012.74/9,605.10
  6. Step 6: Final answer
    x = 7,755.99

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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.