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Finding the Fourth Proportional to 9,493.82, 14,232.65 and 5,798.64

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Solution

The fourth proportional to 9,493.82, 14,232.65 and 5,798.64 is: 8,693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.82 : 14,232.65 = 5,798.64 : x
  2. Step 2: Convert to fraction form
    9,493.82/14,232.65 = 5,798.64/x
  3. Step 3: Cross multiply
    9,493.82x = 14,232.65 × 5,798.64
  4. Step 4: Simplify right side
    9,493.82x = 82,530,013.60
  5. Step 5: Solve for x
    x = 82,530,013.60/9,493.82
  6. Step 6: Final answer
    x = 8,693.02

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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.