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Finding the Fourth Proportional to 9,800.46, 13,524.30 and 5,324.13

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Solution

The fourth proportional to 9,800.46, 13,524.30 and 5,324.13 is: 7,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.46 : 13,524.30 = 5,324.13 : x
  2. Step 2: Convert to fraction form
    9,800.46/13,524.30 = 5,324.13/x
  3. Step 3: Cross multiply
    9,800.46x = 13,524.30 × 5,324.13
  4. Step 4: Simplify right side
    9,800.46x = 72,005,131.36
  5. Step 5: Solve for x
    x = 72,005,131.36/9,800.46
  6. Step 6: Final answer
    x = 7,347.12

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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.