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Finding the Fourth Proportional to 9,358.30, 14,033.04 and 2,782.18

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Solution

The fourth proportional to 9,358.30, 14,033.04 and 2,782.18 is: 4,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.30 : 14,033.04 = 2,782.18 : x
  2. Step 2: Convert to fraction form
    9,358.30/14,033.04 = 2,782.18/x
  3. Step 3: Cross multiply
    9,358.30x = 14,033.04 × 2,782.18
  4. Step 4: Simplify right side
    9,358.30x = 39,042,443.23
  5. Step 5: Solve for x
    x = 39,042,443.23/9,358.30
  6. Step 6: Final answer
    x = 4,171.96

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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.