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Finding the Fourth Proportional to 9,749.08, 13,458.18 and 7,999.48

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Solution

The fourth proportional to 9,749.08, 13,458.18 and 7,999.48 is: 11,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.08 : 13,458.18 = 7,999.48 : x
  2. Step 2: Convert to fraction form
    9,749.08/13,458.18 = 7,999.48/x
  3. Step 3: Cross multiply
    9,749.08x = 13,458.18 × 7,999.48
  4. Step 4: Simplify right side
    9,749.08x = 107,658,441.75
  5. Step 5: Solve for x
    x = 107,658,441.75/9,749.08
  6. Step 6: Final answer
    x = 11,042.93

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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.