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Finding the Fourth Proportional to 10,464.60, 15,705.14 and 9,234.48

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Solution

The fourth proportional to 10,464.60, 15,705.14 and 9,234.48 is: 13,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.60 : 15,705.14 = 9,234.48 : x
  2. Step 2: Convert to fraction form
    10,464.60/15,705.14 = 9,234.48/x
  3. Step 3: Cross multiply
    10,464.60x = 15,705.14 × 9,234.48
  4. Step 4: Simplify right side
    10,464.60x = 145,028,755.05
  5. Step 5: Solve for x
    x = 145,028,755.05/10,464.60
  6. Step 6: Final answer
    x = 13,858.99

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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.