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Finding the Fourth Proportional to 9,473.52, 14,205.84 and 3,231.84

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Solution

The fourth proportional to 9,473.52, 14,205.84 and 3,231.84 is: 4,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.52 : 14,205.84 = 3,231.84 : x
  2. Step 2: Convert to fraction form
    9,473.52/14,205.84 = 3,231.84/x
  3. Step 3: Cross multiply
    9,473.52x = 14,205.84 × 3,231.84
  4. Step 4: Simplify right side
    9,473.52x = 45,911,001.95
  5. Step 5: Solve for x
    x = 45,911,001.95/9,473.52
  6. Step 6: Final answer
    x = 4,846.25

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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.