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Finding the Fourth Proportional to 6,382.32, 9,569.30 and 2,222

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Solution

The fourth proportional to 6,382.32, 9,569.30 and 2,222 is: 3,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.32 : 9,569.30 = 2,222 : x
  2. Step 2: Convert to fraction form
    6,382.32/9,569.30 = 2,222/x
  3. Step 3: Cross multiply
    6,382.32x = 9,569.30 × 2,222
  4. Step 4: Simplify right side
    6,382.32x = 21,262,984.60
  5. Step 5: Solve for x
    x = 21,262,984.60/6,382.32
  6. Step 6: Final answer
    x = 3,331.54

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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.