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Finding the Fourth Proportional to 9,782.40, 14,679.99 and 4,856.25

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Solution

The fourth proportional to 9,782.40, 14,679.99 and 4,856.25 is: 7,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.40 : 14,679.99 = 4,856.25 : x
  2. Step 2: Convert to fraction form
    9,782.40/14,679.99 = 4,856.25/x
  3. Step 3: Cross multiply
    9,782.40x = 14,679.99 × 4,856.25
  4. Step 4: Simplify right side
    9,782.40x = 71,289,701.44
  5. Step 5: Solve for x
    x = 71,289,701.44/9,782.40
  6. Step 6: Final answer
    x = 7,287.55

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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.