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Finding the Fourth Proportional to 6,217.32, 9,326.40 and 2,321.64

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Solution

The fourth proportional to 6,217.32, 9,326.40 and 2,321.64 is: 3,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.32 : 9,326.40 = 2,321.64 : x
  2. Step 2: Convert to fraction form
    6,217.32/9,326.40 = 2,321.64/x
  3. Step 3: Cross multiply
    6,217.32x = 9,326.40 × 2,321.64
  4. Step 4: Simplify right side
    6,217.32x = 21,652,543.30
  5. Step 5: Solve for x
    x = 21,652,543.30/6,217.32
  6. Step 6: Final answer
    x = 3,482.62

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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.