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Finding the Fourth Proportional to 9,355.76, 14,033.64 and 2,782.04

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Solution

The fourth proportional to 9,355.76, 14,033.64 and 2,782.04 is: 4,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.76 : 14,033.64 = 2,782.04 : x
  2. Step 2: Convert to fraction form
    9,355.76/14,033.64 = 2,782.04/x
  3. Step 3: Cross multiply
    9,355.76x = 14,033.64 × 2,782.04
  4. Step 4: Simplify right side
    9,355.76x = 39,042,147.83
  5. Step 5: Solve for x
    x = 39,042,147.83/9,355.76
  6. Step 6: Final answer
    x = 4,173.06

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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.