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Finding the Fourth Proportional to 9,800.96, 13,525.34 and 5,324.67

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Solution

The fourth proportional to 9,800.96, 13,525.34 and 5,324.67 is: 7,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.96 : 13,525.34 = 5,324.67 : x
  2. Step 2: Convert to fraction form
    9,800.96/13,525.34 = 5,324.67/x
  3. Step 3: Cross multiply
    9,800.96x = 13,525.34 × 5,324.67
  4. Step 4: Simplify right side
    9,800.96x = 72,017,945.51
  5. Step 5: Solve for x
    x = 72,017,945.51/9,800.96
  6. Step 6: Final answer
    x = 7,348.05

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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.