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Finding the Fourth Proportional to 9,322.84, 13,979.70 and 5,765.32

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Solution

The fourth proportional to 9,322.84, 13,979.70 and 5,765.32 is: 8,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.84 : 13,979.70 = 5,765.32 : x
  2. Step 2: Convert to fraction form
    9,322.84/13,979.70 = 5,765.32/x
  3. Step 3: Cross multiply
    9,322.84x = 13,979.70 × 5,765.32
  4. Step 4: Simplify right side
    9,322.84x = 80,597,409.05
  5. Step 5: Solve for x
    x = 80,597,409.05/9,322.84
  6. Step 6: Final answer
    x = 8,645.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.