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Finding the Fourth Proportional to 9,856.32, 14,782.88 and 3,282.56

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Solution

The fourth proportional to 9,856.32, 14,782.88 and 3,282.56 is: 4,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.32 : 14,782.88 = 3,282.56 : x
  2. Step 2: Convert to fraction form
    9,856.32/14,782.88 = 3,282.56/x
  3. Step 3: Cross multiply
    9,856.32x = 14,782.88 × 3,282.56
  4. Step 4: Simplify right side
    9,856.32x = 48,525,690.57
  5. Step 5: Solve for x
    x = 48,525,690.57/9,856.32
  6. Step 6: Final answer
    x = 4,923.31

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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.