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Finding the Fourth Proportional to 9,449.90, 13,040.97 and 5,201.45

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Solution

The fourth proportional to 9,449.90, 13,040.97 and 5,201.45 is: 7,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.90 : 13,040.97 = 5,201.45 : x
  2. Step 2: Convert to fraction form
    9,449.90/13,040.97 = 5,201.45/x
  3. Step 3: Cross multiply
    9,449.90x = 13,040.97 × 5,201.45
  4. Step 4: Simplify right side
    9,449.90x = 67,831,888.20
  5. Step 5: Solve for x
    x = 67,831,888.20/9,449.90
  6. Step 6: Final answer
    x = 7,178.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.