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Finding the Fourth Proportional to 9,473.31, 14,208.57 and 3,233.52

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Solution

The fourth proportional to 9,473.31, 14,208.57 and 3,233.52 is: 4,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.31 : 14,208.57 = 3,233.52 : x
  2. Step 2: Convert to fraction form
    9,473.31/14,208.57 = 3,233.52/x
  3. Step 3: Cross multiply
    9,473.31x = 14,208.57 × 3,233.52
  4. Step 4: Simplify right side
    9,473.31x = 45,943,695.27
  5. Step 5: Solve for x
    x = 45,943,695.27/9,473.31
  6. Step 6: Final answer
    x = 4,849.80

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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.