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Finding the Fourth Proportional to 9,485.48, 13,077.24 and 6,649.04

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Solution

The fourth proportional to 9,485.48, 13,077.24 and 6,649.04 is: 9,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.48 : 13,077.24 = 6,649.04 : x
  2. Step 2: Convert to fraction form
    9,485.48/13,077.24 = 6,649.04/x
  3. Step 3: Cross multiply
    9,485.48x = 13,077.24 × 6,649.04
  4. Step 4: Simplify right side
    9,485.48x = 86,951,091.85
  5. Step 5: Solve for x
    x = 86,951,091.85/9,485.48
  6. Step 6: Final answer
    x = 9,166.76

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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.