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Finding the Fourth Proportional to 9,309.15, 13,963.73 and 4,115.03

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Solution

The fourth proportional to 9,309.15, 13,963.73 and 4,115.03 is: 6,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.15 : 13,963.73 = 4,115.03 : x
  2. Step 2: Convert to fraction form
    9,309.15/13,963.73 = 4,115.03/x
  3. Step 3: Cross multiply
    9,309.15x = 13,963.73 × 4,115.03
  4. Step 4: Simplify right side
    9,309.15x = 57,461,077.47
  5. Step 5: Solve for x
    x = 57,461,077.47/9,309.15
  6. Step 6: Final answer
    x = 6,172.54

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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.