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Finding the Fourth Proportional to 9,648.22, 13,314.18 and 5,456.56

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Solution

The fourth proportional to 9,648.22, 13,314.18 and 5,456.56 is: 7,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.22 : 13,314.18 = 5,456.56 : x
  2. Step 2: Convert to fraction form
    9,648.22/13,314.18 = 5,456.56/x
  3. Step 3: Cross multiply
    9,648.22x = 13,314.18 × 5,456.56
  4. Step 4: Simplify right side
    9,648.22x = 72,649,622.02
  5. Step 5: Solve for x
    x = 72,649,622.02/9,648.22
  6. Step 6: Final answer
    x = 7,529.85

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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.