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Finding the Fourth Proportional to 9,449.86, 13,040.49 and 5,258.02

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Solution

The fourth proportional to 9,449.86, 13,040.49 and 5,258.02 is: 7,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.86 : 13,040.49 = 5,258.02 : x
  2. Step 2: Convert to fraction form
    9,449.86/13,040.49 = 5,258.02/x
  3. Step 3: Cross multiply
    9,449.86x = 13,040.49 × 5,258.02
  4. Step 4: Simplify right side
    9,449.86x = 68,567,157.23
  5. Step 5: Solve for x
    x = 68,567,157.23/9,449.86
  6. Step 6: Final answer
    x = 7,255.89

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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.