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Finding the Fourth Proportional to 9,230.52, 13,845.64 and 2,305

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Solution

The fourth proportional to 9,230.52, 13,845.64 and 2,305 is: 3,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.52 : 13,845.64 = 2,305 : x
  2. Step 2: Convert to fraction form
    9,230.52/13,845.64 = 2,305/x
  3. Step 3: Cross multiply
    9,230.52x = 13,845.64 × 2,305
  4. Step 4: Simplify right side
    9,230.52x = 31,914,200.20
  5. Step 5: Solve for x
    x = 31,914,200.20/9,230.52
  6. Step 6: Final answer
    x = 3,457.47

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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.