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Finding the Fourth Proportional to 9,782.10, 14,673.15 and 7,449.30

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Solution

The fourth proportional to 9,782.10, 14,673.15 and 7,449.30 is: 11,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.10 : 14,673.15 = 7,449.30 : x
  2. Step 2: Convert to fraction form
    9,782.10/14,673.15 = 7,449.30/x
  3. Step 3: Cross multiply
    9,782.10x = 14,673.15 × 7,449.30
  4. Step 4: Simplify right side
    9,782.10x = 109,304,696.30
  5. Step 5: Solve for x
    x = 109,304,696.30/9,782.10
  6. Step 6: Final answer
    x = 11,173.95

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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.