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Finding the Fourth Proportional to 9,803.34, 13,527.96 and 5,824.80

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Solution

The fourth proportional to 9,803.34, 13,527.96 and 5,824.80 is: 8,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.34 : 13,527.96 = 5,824.80 : x
  2. Step 2: Convert to fraction form
    9,803.34/13,527.96 = 5,824.80/x
  3. Step 3: Cross multiply
    9,803.34x = 13,527.96 × 5,824.80
  4. Step 4: Simplify right side
    9,803.34x = 78,797,661.41
  5. Step 5: Solve for x
    x = 78,797,661.41/9,803.34
  6. Step 6: Final answer
    x = 8,037.84

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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.