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Finding the Fourth Proportional to 9,763.25, 14,652.41 and 5,084.44

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Solution

The fourth proportional to 9,763.25, 14,652.41 and 5,084.44 is: 7,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.25 : 14,652.41 = 5,084.44 : x
  2. Step 2: Convert to fraction form
    9,763.25/14,652.41 = 5,084.44/x
  3. Step 3: Cross multiply
    9,763.25x = 14,652.41 × 5,084.44
  4. Step 4: Simplify right side
    9,763.25x = 74,499,237.45
  5. Step 5: Solve for x
    x = 74,499,237.45/9,763.25
  6. Step 6: Final answer
    x = 7,630.58

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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.